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Controllability of mixed Volterra–Fredholm-type integro-differential inclusions in Banach spaces |
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| Authors: | Y-K Chang DN Chalishajar |
| Institution: | aDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, People's Republic of China;bDepartment of Applied Mathematics, Sardar Vallabhbhai Patel Institute of Technology (S.V.I.T.), Vasad-388306 (Gujarat University) Anand, Gujarat, India |
| 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. |
| Keywords: | Controllability Mixed Volterra– Fredholm-type integro-differential inclusions Bohnenblust– Karlin's fixed point theorem |
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