Solvability of nonlinear impulsive Volterra integral inclusions and functional differential inclusions |
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| Authors: | Shihuang Hong |
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| Institution: | Department of Mathematics, Hainan University, Haikou 570228, People's Republic of China |
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| Abstract: | This paper presents sufficient conditions for the existence of solutions to nonlinear impulsive Volterra integral inclusions and initial value problems for second order impulsive functional differential inclusions in Banach spaces. Our results are obtained via a fixed point theorem due to Hong J. Math. Anal. Appl. 282 (2003) 151-162] for discontinuous multivalued increasing operators. |
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| Keywords: | Impulsive integral inclusion Impulsive functional differential inclusion Multivalued map Fixed point |
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