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MS: Applied Mathematics & Computer Science (with Thesis)
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Prof. Dr. NAZIM MAHMUDOV
MS Thesis
Reger Ibrahim
, Thesis title: Riemann-Louiville type FDE, M.Sc. completed: 2016
Ojo Gbenga Olayinka
, Thesis title: Adomian's Decomposition of Multi-Order Fractional, Differential Equations, M.Sc. completed: 2016
Hogir Ageed Khaleel
, Thesis title: On Fractional Differential Equations, M.Sc. completed: 2015
Abdullah Hasan Jangeer
, Thesis title: Fractional Integral Inequalities of Gronwall Type, M.Sc. completed: 2015
Sevda Isiktas,
Thesis title: Controllability of linear deterministic systems, M.Sc. completed: 1997
Verda Peyker,
Thesis title: Linear retarded differential equations, M.Sc. completed: 2000
Ceren Mirillo
, Thesis title: Linear retarded differential equations, M.Sc. completed: 2004
Umut Yolsal
, Thesis title: The Gauge Integral, MSc completed: 2004
Mustafa Kara
, Thesis title: The Calculus of Time Scales, M.Sc. completed: 2005
Benan Gencsu
, Thesis title: Inequalities on Time Scales, M.Sc. completed: 2005
Havva Kafaoglu,
Thesis title: Differential Equations on Time Scales, M.Sc. completed: 2006
PhD Thesis
SEDEF SULTAN EMIN
, Thesis Title: Existence Results for Boundary Value Problems of Fractional Type, Differential Equations, Ph.D. completed in June 2019, EMU
AREEN SABER SALAH AL-KHATEEB
, Thesis Title: Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations, Ph.D. completed in June 2019, EMU
SAMEER HASSAN SALEEH BAWA`NEH
, Thesis Title: Computational Numerical Solution Algorithm for Fractional Differential Equations, Ph.D. completed in June 2019, EMU
Muath Awadalla,
Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
Bilal Sami,
Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
Helal Mahmoud
, Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in June 2016, EMU
Mohammad Momenzadeh
, Thesis Title: A Comprehensive Study On q-Polynomials, Ph.D. completed in February 2016, EMU
Sinem Unul,
Thesis Title: On a Class Fractional Differential Equations, Ph.D. completed in February 2016, EMU
Marzieh Eini Keleshteri
, Thesis Title: Comprehensive Study On The Class Of q-Appell Polynomials, Ph.D. completed in July 2015, EMU
Afet Oneren
, Thesis Title: Q-polynomials, Ph.D. completed in October 2014, EMU
Mustafa Kara,
Thesis Title: Generalized Kantorovich type Operators, Ph.D. completed in January 2011, EMU
Havva Kaffaoglu
, Thesis Title: Phillips type Operators Based on q-integers, Ph.D. completed in May 2011, EMU
Pembe Sabancigil
, Thesis Title: Bernstein type Operators Based on q-integers, Ph.D. completed in May 2009, EMU
Muhammed Mattar
, Thesis Title: Controllability of Backward Equations, Ph.D. completed in June 2005, EMU
Sonuc Zorlu
, Thesis Title: Controllability of Stochastic Systems, Ph.D. completed in May 2003, EMU
Ali Denker
, Thesis Title: Controllability concepts for stochastic control systems, Ph.D. completed in May 2002, EMU
Publications
Journal Papers_indexed in SCI
NI Mahmudov, Necessary First-Order and Second-Order Optimality Conditions in DiscreteTime Stochastic Systems, Journal of Optimization Theory and Applications 2019-09-14 | journalarticle DOI: 10.1007/s10957-019-01478-y
NI Mahmudov, A novel fractional delayed matrix cosine and sine Applied Mathematics Letters 2019-06 | journal-article DOI: 10.1016/j.aml.2019.01.001
NI Mahmudov, Representation of solutions of discrete linear delay systems with non permutable matrices Applied Mathematics Letters 2018, 85, 8-14
Mahmudov, N. I. Asymptotic properties of powers of linear positive operators which preserve e2. Comput. Math. Appl. 62 (2011), no. 12, 4568–4575.
Sakthivel, R.; Ren, Yong; Mahmudov, N. I. On the approximate controllability of semilinear fractional differential systems. Comput. Math. Appl. 62 (2011), no. 3, 1451–1459.
Mahmudov, N. I. q-Szász-Mirakjan operators which preserve x2. J. Comput. Appl. Math. 235 (2011), no. 16, 4621–4628.
Mahmudov, N. I. Approximation by Bernstein-Durrmeyer-type operators in compact disks. Appl. Math. Lett. 24 (2011), no. 7, 1231–1238.
Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
Mahmudov, N. I., Approximation theorems for certain positive linear operators. Appl. Math. Lett. 23 (2010), no. 7, 812–817.
Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. On controllability of second order nonlinear impulsive differential systems. Nonlinear Anal. 71 (2009), no. 1-2, 45--52.
Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
Mahmudov, N. I.; McKibben, M. A. On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 67 (2007), no. 4, 1260--1274.
Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
Dauer, J. P.; Mahmudov, N. I.; Matar, M. M. Approximate controllability of backward stochastic evolution equations in Hilbert spaces. J. Math. Anal. Appl. 323 (2006), no. 1, 42--56.
Mahmudov, N. I.; Zorlu, S. Controllability of semilinear stochastic systems. Internat. J. Control 78 (2005), no. 13, 997--1004.
Dauer, J. P.; Mahmudov, N. I. Integral inequalities and mild solutions of semilinear neutral evolution equations. J. Math. Anal. Appl. 300 (2004), no. 1, 189--202.
Dauer, J. P.; Mahmudov, N. I. Controllability of some nonlinear systems in Hilbert spaces. J. Optim. Theory Appl. 123 (2004), no. 2, 319--329.
Dauer, J. P.; Mahmudov, N. I. Exact null controllability of semilinear integrodifferential systems in Hilbert spaces. J. Math. Anal. Appl. 299 (2004), no. 2, 322--332.
Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
Mahmudov, Nazim I. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM J. Control Optim. 42 (2003), no. 5, 1604--1622.
Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
Mahmudov, N. I.; Zorlu, S. Controllability of non-linear stochastic systems. Internat. J. Control 76 (2003), no. 2, 95--104.
Dauer, J. P.; Mahmudov, N. I. Approximate controllability of semilinear functional equations in Hilbert spaces. J. Math. Anal. Appl. 273 (2002), no. 2, 310--327.
Mahmudov, Nazim I. Controllability of linear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 259 (2001), no. 1, 64--82.
Mahmudov, Nazim Idrisoglu Controllability of linear stochastic systems. IEEE Trans. Automat. Control 46 (2001), no. 5, 724--731.
Mahmudov, N. I.; Denker, A. On controllability of linear stochastic systems. Internat. J. Control 73 (2000), no. 2, 144--151.
Bashirov, Agamirza E.; Mahmudov, Nazim I. On concepts of controllability for deterministic and stochastic systems. SIAM J. Control Optim. 37 (1999), no. 6, 1808--1821 (electronic).
Journal Papers in SCIE
NI Mahmudov, Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations, Mathematical Methods in the Applied Sciences 2019-11-15 | journal-article DOI: 10.1002/mma.5446
NI Mahmudov, S Emin, Fractional-order boundary value problems with Katugampola fractional integral conditions, Advances in Difference Equations 2018 (1), 81
NI Mahmudov, Partial-approximate controllability of nonlocal fractional evolution equations via approximating method Applied Mathematics and Computation 334, 227-238
NI Mahmudov, Finite-approximate controllability of fractional evolution equations: variational approach Fractional Calculus and Applied Analysis 21 (4), 919-93
SG Gal, NI Mahmudov, BD Opris, Approximation with an Arbitrary Order by Szasz, SzaszKantorovich and Baskakov Complex Operators in Compact Disks Azerbaijan Journal of Mathematics-Print ISSN: 2218-6816, Online ISSN: 2221
NI Mahmudov, M Awadalla, K Abuassba, Nonlinear sequential fractional differential equations with nonlocal boundary conditions Advances in Difference Equations 2017 (1), 319
NI Mahmudov, H Mahmoud, Four-point impulsive multi-orders fractional boundary value problems J. Comput. Anal. Appl 22 (7), 1249-1260
NI Mahmudov, R Murugesu, C Ravichandran, V Vijayakumar, Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces Results in Mathematics 71 (1-2), 45-61
N Mahmudov, MM Matar, EXISTENCE OF MILD SOLUTION FOR HYBRID DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS 8 (2), 160-169
NI Mahmudov, Finite-approximate controllability of evolution equations, Appl. Comput. Math 16 (2), 159-167
R Sakthivel, Y Ren, A Debbouche, NI Mahmudov Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions Applicable Analysis 95 (11), 2361-2382
NI Mahmudov, V Vijayakumar, R Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces Mediterranean Journal of Mathematics 13 (5), 3433-3454
N Mahmudov, Approximation Properties of the q-Balázs–Szabados Complex Operators in the Case q≥1, Computational Methods and Function Theory 16 (4), 567–583
NI Mahmudov, MA Mckibben, ON APPROXIMATELY CONTROLLABLE SYSTEMS Appl. Comput. Math 15 (3), 247-264
MJ Mardanov, NI Mahmudov, YA Sharifov, Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators Advances in Difference Equations 2015 (1), 185
NI Mahmudov, M Kara, Approximation properties of weighted Kantorovich type operators in compact disks Journal of Inequalities and Applications 2015 (1), 46
Mardanov, Misir J; Malik, Samin T; Mahmudov, Nazim I; On the theory of necessary optimality conditions in discrete systems. Adv. Difference Equ. 2015, 2015:28.
Mahmudov, Nazim I; Kara, Mustafa; Approximation properties of weighted Kantorovich type operators in compact disks. J. Inequal. Appl. 2015, 2015:46.
Mahmudov, Nazim I. Difference equations of q-Appell polynomials. Appl. Math. Comput. 245 (2014), 539–543
Ganesh, Ramakrishnan; Sakthivel, Rathinasamy; Mahmudov, Nazim I. Approximate controllability of fractional functional equations with infinite delay. Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 345–364.
Mahmudov, N. I.; Unul, S. Existence of solutions of α∈(2,3]order fractional three-point boundary value problems with integral conditions. Abstr. Appl. Anal. 2014, Art. ID 198632, 12 pp.
Mahmudov, Nazim I.; Keleshteri, Marzieh Eini q-extensions for the Apostol type polynomials. J. Appl. Math. 2014, Art. ID 868167, 8 pp.
Mahmudov, N. I.; Momenzadeh, M. On a class of q-Bernoulli, q-Euler, and q-Genocchi polynomials. Abstr. Appl. Anal. 2014, Art. ID 696454, 10 pp.
Mahmudov, N. I.; Gupta, Vijay Approximation by complex q-Durrmeyer polynomials in compact disks. Acta Math. Appl. Sin. Engl. Ser. 30 (2014),no. 1, 65–74.
Mahmudov, N. I.; Akkeleş, A.; Öneren, A. On a class of two dimensional (w,q)-Bernoulli and (w,q)-Euler polynomials: properties and location of zeros. J. Comput. Anal. Appl. 16 (2014), no. 2, 282–292.
Gal, Sorin G.; Mahmudov, Nazim I.; Kara, MustafaApproximation by complex q-SzászKantorovich operators in compact disks, q>1.Complex Anal. Oper. Theory 7 (2013), no. 6, 1853–1867.
Mahmudov, Nazim Idrisoglu q-Szász operators which preserve x2. Math. Slovaca 63 (2013), no.5, 1059–1072.
Ganesh, R.; Sakthivel, R.; Ren, Yong; Anthoni, S. M.;Mahmudov, N. I. Controllability of neutral fractional functional equations with impulses and infinite delay. Abstr. Appl. Anal. 2013, Art. ID 901625, 12 pp.
Mahmudov, N. I. Asymptotic properties of iterates of certain positive linear operators. Math. Comput. Modelling 57 (2013), no. 5-6, 1480–1488.
Mahmudov, N. I.; Zorlu, S. Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions. Bound. Value Probl. 2013, 2013:118, 16 pp.
Mahmudov, Nazim I.; Keleshteri, M. Eini On a class of generalized q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:115, 10 pp.
Mahmudov, N. I.; Kara, M. Approximation theorems for complex Szász-Kantorovich operators. J. Comput. Anal. Appl. 15 (2013), no. 1, 32–38.
Ganesh, R.; Sakthivel, R.; Mahmudov, N. I.; Anthoni, S. M.Approximate controllability of fractional integrodifferential evolution equations. J. Appl. Math. 2013, Art. ID 291816, 7 pp.
Mahmudov, Nazim I. On a class of q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:108, 11 pp.
Mahmudov, N. I. Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces. Abstr. Appl. Anal. 2013, Art. ID 502839, 9 pp.
Sakthivel, R.; Revathi, P.; Mahmudov, N. I. Asymptotic stability of fractional stochastic neutral differential equations with infinite delays.Abstr. Appl. Anal. 2013, Art. ID 769257, 9 pp.
Mahmudov, N. I.; Şemi, N. Approximate controllability of semilinear control systems in Hilbert spaces. TWMS J. Appl. Eng. Math. 2 (2012), no. 1, 67–74.
Mahmudov, N. I. Approximation by the q-Szász-Mirakjan operators. Abstr. Appl. Anal. 2012, Art. ID 754217, 16 pp.
Mahmudov, Nazim I. Approximation properties of bivariate complex q-Bernstein polynomials in the case q>1. Czechoslovak Math. J. 62(137)(2012), no. 2, 557–566.
Mahmudov, N. I. q-analogues of the Bernoulli and Genocchi polynomials and the SrivastavaPintér addition theorems. Discrete Dyn. Nat. Soc.2012, Art. ID 169348, 8 pp.
Mahmudov, Nazim; Gupta, Vijay; Kaffaoğlu, Havva On certainq-Phillips operators. Rocky Mountain J. Math. 42 (2012), no. 4, 1291–1312.
Mahmudov, N. I.; Kara, M. Approximation theorems for generalized complex Kantorovich-type operators. J. Appl. Math. 2012, Art. ID 454579, 14 pp.
Mahmudov, Nazim Idrisoglu; Sabancigil, Pembe Voronovskaja type theorem for the Lupaş qanalogue of the Bernstein operators. Math. Commun.17 (2012), no. 1, 83–91.
Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J. Controllability for a class of fractional-order neutral evolution control systems. Appl. Math. Comput.218 (2012), no. 20, 10334–10340.
Mahmudov, N. I.; Gupta, Vijay Approximation by genuine Durrmeyer-Stancu polynomials in compact disks. Math. Comput. Modelling 55(2012), no. 3-4, 278–285.
Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.Approximation by a complex q-Durrmeyer type operator. Ann. Univ. Ferrara Sez. VII Sci. Mat. 58 (2012), no. 1, 65–87.
Mahmudov, Nazim; Sabancigil, Pembe A q-analogue of the Meyer-König and Zeller operators. Bull. Malays. Math. Sci. Soc. (2) 35 (2012), no. 1,39–51.
Mahmudov, Nazim Idrisoglu; Özarslan, Mehmet Ali;Sabancigil, Pembe I-approximationproperties of certain class of linear positive operators. Studia Sci. Math. Hungar. 48 (2011), no. 2, 205–219.
Mahmudov, Nazim; Gupta, Vijay On certain q-analogue of Szász Kantorovich operators. J. Appl. Math. Comput. 37 (2011), no. 1-2, 407–419.
Mahmudov, N. I. Higher order limit q-Bernstein operators. Math. Methods Appl. Sci. 34 (2011), no. 13, 1618–1626.
Sakthivel, R.; Mahmudov, N. I.; Ren, Yong Approximate controllability of the nonlinear thirdorder dispersion equation. Appl. Math. Comput.217 (2011), no. 21, 8507–8511.
Mahmudov, N. I. Approximation by genuine q-Bernstein-Durrmeyer polynomials in compact disks. Hacet. J. Math. Stat. 40 (2011),no. 1, 77–89.
Özarslan, M. Ali; Duman, Oktay; Mahmudov, N. I. Local approximation properties of modified Baskakov operators. Results Math. 59 (2011),no. 1-2, 1–11.
Sakthivel, R.; Nieto, Juan J.; Mahmudov, N. I. Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay. Taiwanese J. Math. 14 (2010), no. 5, 1777–1797.
Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
Mahmudov, N. I., Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers. Cent. Eur. J. Math. 8(2010), no. 4, 816–826.
Mahmudov, N. I.; Sabancigil, P., On genuine q-Bernstein-Durrmeyer operators. Publ. Math. Debrecen 76 (2010), no. 3-4, 465–479.
Mahmudov, N. I.; Kaffaoǧlu, H., On q-Szász-Durrmeyer operators. Cent. Eur. J. Math. 8 (2010), no. 2, 399–409.
Mahmudov, N. I., The moments for q-Bernstein operators in the case 0<q<1. Numer. Algorithms 53 (2010), no. 4, 439–450.
Mahmudov, N. I.; Sabancigil, P., Some approximation properties of q-parametric BBH operators, Journal of Computational Analysis and Applications, vol. 12, no. 1, pp. 111–123, 2010.
Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
Mahmudov, Nazim I. Korovkin-type theorems and applications. Cent. Eur. J. Math. 7 (2009), no. 2, 348--356.
Sakthivel, R.; Anandhi, E. R.; Mahmudov, N. I. Approximate controllability of second-order systems with state-dependent delay. Numer. Funct. Anal. Optim. 29 (2008), no. 11-12, 1347-1362.
Mahmudov, N. I.; Sabancigil, P. q-parametric Bleimann Butzer and Hahn operators. J. Inequal. Appl. 2008, Art. ID 816367, 15 pp.
Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no.1, 53--70.
Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J.; Kim, J. H. On controllability of nonlinear impulsive integrodifferential systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15 (2008), no. 3, 333--343.
Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
Mahmudov, Nazim I.; McKibben, Mark A. On a class of backward McKean-Vlasov stochastic equations in Hilbert space: existence and convergence properties. Dynam. Systems Appl. 16 (2007), no. 4, 643--664.
Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. The averaging method and two-sided bounded solutions of stochastic Itô systems. (Russian) Differ. Uravn. 43 (2007), no. 1, 52--63,142.
Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. Approximate controllability of nonlinear impulsive differential systems. Rep. Math. Phys. 60 (2007), no. 1, 85--96.
Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
Sakthivel, R.; Kim, J.-H.; Mahmudov, N. I. On controllability of nonlinear stochastic systems. Rep. Math. Phys. 58 (2006), no. 3, 433--443.
Mahmudov, N. I.; McKibben, M. A. Approximate controllability of second-order neutral stochastic evolution equations. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 13 (2006), no. 5, 619--634.
Mahmudov, N. I.; McKibben, M. A. Abstract second-order damped McKean-Vlasov stochastic evolution equations. Stoch. Anal. Appl. 24 (2006), no. 2, 303--328.
Mahmudov, N. I. Existence and uniqueness results for neutral SDEs in Hilbert spaces. Stoch. Anal. Appl. 24 (2006), no. 1, 79--95.
Dauer, J. P.; Mahmudov, N. I. Remark on existence result for second order evolution equations in Banach spaces. Int. J. Pure Appl. Math. 12 (2004), no. 4, 471--482.
Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
Mahmudov, Nazim Controllability and observability of linear stochastic systems in Hilbert spaces. Stochastic analysis and related topics VIII, 151--167, Progr. Probab., 53, Birkhäuser, Basel, 2003.
Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
Mahmudov, N. I.; Zorlu, S. Approximate controllability of semilinear neutral systems in Hilbert spaces. J. Appl. Math. Stochastic Anal. 16 (2003), no. 3, 233--242.
Mahmudov, Nazim I. On controllability of semilinear stochastic systems in Hilbert spaces. IMA J. Math. Control Inform. 19 (2002), no. 4, 363--376.
Mahmudov, N. I. The maximum principle for stochastic evolution systems in Hilbert spaces. Int. J. Pure Appl. Math. 2 (2002), no. 3, 287--298.
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