Existence results for a nondensely-defined impulsive neutral differential equation with state-dependent delay |
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| Authors: | Y.-K. Chang Juan J. Nieto Zhi-Han Zhao |
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| Affiliation: | 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 integral solutions for a first order nondensely-defined impulsive neutral differential equation with state-dependent delay. The results are obtained by using suitable fixed point theorems. As applications of these main theorems, some consequences are obtained for the sub-linear growth cases. |
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