Acknowledgement
This work was supported by a Research Grant of Pukyong National University(2021Year).
References
- P. Balasubramaniam, Existence of solutions of functional stochastic differential inclusions, Tamkang J. Math., 33 (2002), 35-43. https://doi.org/10.5556/j.tkjm.33.2002.303
- R.F. Curtain, Stochastic evolution equations with general white noise disturbance, J. Math. Anal. Appl., 60 (1977), 570-5 https://doi.org/10.1016/0022-247x(77)90002-6
- G. Di Blasio, K. Kunisch, E. Sinestrari, L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives, J. Math. Anal. Appl., 102 (1984), 38-57. https://doi.org/10.1016/0022-247X(84)90200-2
- H.O. Fattorini, Boundary control systems, SIAM J. Control Optim., 6 (1968), 349-402. https://doi.org/10.1137/0306025
- A. Friedman, Stochastic Differential Equations & Applications, Academic Press, INC. 1975.
- W. Grecksch, C. Tudor, sStochastic Evolution Equations: A Hilbert space Apprauch, Akademic Verlag, Berlin, 1995.
- L. Hu, Y. Ren, Existence results for impulsive neutral stochastic functional integro-differential equations with infinite dalays, Acta Appl. Math., 111 (2010), 303-317. https://doi.org/10.1007/s10440-009-9546-x
- J.M. Jeong, Stabilizability of retarded functional differential equation in Hilbert space, Osaka J. Math., 28 (1991), 347-365.
- K.Y. Kang, J.M. Jeong, S.H. Cho, L2-primitive process for retarded stochastic neutral functional differential equations in Hilbert spaces, J. comput. Anal. Appl., 29 (2021), 838-861.
- A. Lin, L. Hu, Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal conditions, Comput. Math. Appl., 59 (2010), 64-73. https://doi.org/10.1016/j.camwa.2009.09.004
- S. Nakagiri, Structural properties of functional differential equations in Banach spaces, Osaka J. Math., 25 (1988), 353-398.
- Y. Ren, L. Hu and R. Sakthivel, Controllability of neutral stochastic functional differential inclusions with infinite delay, J. Comput. Appl. Math., 235 (2011), 2603-2614. https://doi.org/10.1016/j.cam.2010.10.051
- H. Tanabe, Fundamental solutions for linear retarded functional differential equations in Banach space, Funkcial. Ekvac., 35 (1992), 149-177.
- H. Tanabe, Equations of Evolution, Pitman-London, 1979.
- H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, 1978.
- M. Yamamoto, J.Y. Park, Controllability for parabolic equations with uniformly bounded nonlinear terms, J. optim. Theory Appl., 66 (1990), 515-532. https://doi.org/10.1007/BF00940936