Approximate Controllability of Neutral Stochastic Functional Differential Systems with Infinite Delay

REFERENCES

• Balasubramaniam , P. , and Ntouyas , S.K. 2006 . Controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space . Journal of the Mathematical Analysis Applications 324 : 161 – 176 .
   Web of Science ®Google Scholar
• Bensoussan , A. , Da Prato , G. , Delfour , M.C. , and Mitter , S.K. 1993 . Representaion and Control of Infinite Dimensional Systems , Systems and control: Foundations and Applications , Vol. 2 . Birkhauser, Boston .
   Google Scholar
• Curtain , R. , and Zwart , H.J. 1995 . An Introduction to Infinite Dimensional Linear Systems Theory . Springer-Verlag , New York .
   Google Scholar
• Dauer , J.P. , and Mahmudov , N.I. 2002 . Approximate controllability of semilinear functional equations in Hilbert spaces . Journal of the Mathematics and Analytical Applications 273 : 310 – 327 .
   Web of Science ®Google Scholar
• Da Prato , G. , and Zabczyk , J. 1992 . Stochastic Equations in Infinite Dimensions . Cambridge Univ. Press , Cambridge .
   Google Scholar
• George , R.K. 1995 . Approximate controllability of nonautonomous semilinear systems . Nonlinear Analysis 24 : 1377 – 1393 .
   Web of Science ®Google Scholar
• Goldys , B. , and Malsowski , B. 2005 . Exponential ergodicity for stochastic Burgers and 2D Navier-Stokes equations . Journal of the Functional Analysis 226 : 230 – 255 .
   Web of Science ®Google Scholar
• Hernandez , E. 2004 . Existence results for partial neutral functional integro-differential equations with unbounded delay . Journal of the Mathematical Analysis Applications 292 : 194 – 210 .
   Web of Science ®Google Scholar
• Hernandez , E. , and Henriquez , H.R. 1998 . Existence results for partial neutral functional differential equations with unbounded delay . Journal of the Mathematical Analysis Applications 221 : 452 – 475 .
   Web of Science ®Google Scholar
• Hale , J.K. , and Kato , J. 1978 . Phase space for retarded eqautions with infinite delay . Funkcial. Ekvac. 21 : 11 – 41 .
   Google Scholar
• Hino , Y. , Murakami , S. , and Naito , T. 1991 . Functional Differential Equations with Infinite Delay in: Lecture Notes in Mathematics . Springer-Verlag , p. 1473 .
   Google Scholar
• Kwun , Y.C. , Park , J.Y. , and Ryu , J.W. 1991 . Approximate controllability and controllability for delay volterra systems . Bulletin Korean Mathematical Society 28 : 131 – 145 .
   Google Scholar
• Li , X. , and Yong , J. 1995 . Optimal Control Theory for Infinite Dimensional Systems . Birkhauser , Berlin .
   Google Scholar
• Mahmudov , N.I. , and Zorlu , S. 2003 . Approximate controllability of semilinear neutral systems in Hilbert spaces . Journal of the Applied Mathematical Stochostic Analysis 16 ( 3 ): 233 – 242 .
   Google Scholar
• Naito , K. 1989 . Approximate controllability for trajectories of semilinear control systems . Journal of the Optimist Theory Applications 60 : 57 – 65 .
   Web of Science ®Google Scholar
• Naito , K. , and Park , J.Y. 1989 . Approximate controllability for trajectories of a delay Volterra control system . Journal of the Optimist Theory Applications 61 : 271 – 279 .
   Web of Science ®Google Scholar
• Pazy , A. 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations . Springer-Verlag , Berlin .
   Google Scholar
• Park , J.Y. , and Kang , S.N. 2001 . Approximate controllability of neutral functional differential system with unbounded delay . International Journal of the Mathematical Science 26 : 737 – 744 .
   Google Scholar
• Yamamoto , M. , and Park , J.Y. 1990 . Controllability for parabolic equations with uniformly bounded nonlinear terms . Journal of the Optimist Theory Applications 66 : 515 – 532 .
   Web of Science ®Google Scholar
• Zabzcyk , J. 1992 . Mathematical Control Theory . Birkhauser , Berlin .
   Google Scholar
• Zhou , H.X. 1983 . Approximate controllability for a class of semilinear abstract equations . SIAM Journal of the Control Optimist 21 : 551 – 565 .
   Web of Science ®Google Scholar