Solvability of impulsive neutral evolution differential inclusions with state-dependent delay |
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| Authors: | Wen-Sheng Li Yong-Kui Chang Juan J Nieto |
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| Institution: | 1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China;2. Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain |
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| Abstract: | In this paper, we prove the existence of mild solutions for a first order impulsive neutral evolution differential inclusion with state-dependent delay. We transform it into an integral equation and use a fixed point theorem for condensing multi-valued maps. As an application of the main theorem, we consider the case when the multi-valued nonlinearity has sub-linear growth in the state variable. |
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