论文信息 - Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces

Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces

Abstract The paper establishes a sufficient condition for the controllability of semilinear mixed Volterra–Fredholm-type integro-differential inclusions in Banach spaces. We use Bohnenblust–Karlin's fixed point theorem combined with a strongly continuous operator semigroup. Our main condition (A5) only depends upon the local properties of multivalued map on a bounded set. An example is also given to illustrate our main results.

Y.-K. Chang | Dimplekumar N. Chalishajar | Yong-Kui Chang | D. Chalishajar

[1] Rathinasamy Sakthivel,et al. Controllability of integrodifferential systems in Banach spaces , 2001, Appl. Math. Comput..

[2] Abdelghani Ouahab,et al. Controllability results for impulsive functional differential inclusions , 2004 .

[3] Shouchuan Hu,et al. Handbook of multivalued analysis , 1997 .

[4] H. F. Bohnenblust,et al. On a Theorem of Ville , 1949 .

[5] K. Deimling. Multivalued Differential Equations , 1992 .

[6] CONTROLLABILITY OF DAMPED SECOND-ORDER INITIAL VALUE PROBLEM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS ON NONCOMPACT INTERVALS , 2007 .

[7] Xianlong Fu,et al. Controllability of abstract neutral functional differential systems with unbounded delay , 2004, Appl. Math. Comput..

[8] Mouffak Benchohra,et al. Controllability Results for Semilinear Evolution Inclusions with Nonlocal Conditions , 2003 .

[9] J. P. Dauer,et al. Controllability of Nonlinear Systems in Banach Spaces: A Survey , 2002 .

[10] Dimplekumar N. Chalishajar. Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space , 2007, J. Frankl. Inst..

[11] Mouffak Benchohra,et al. Controllability for Functional Differential and Integrodifferential Inclusions in Banach Spaces , 2002 .

[12] Philip Wolfe,et al. Contributions to the theory of games , 1953 .

[13] Yong-Kui Chang,et al. Controllability of impulsive functional differential systems with infinite delay in Banach spaces , 2007 .