Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations |
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Authors: | Ruixi Liang Zaiming Liu |
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Institution: | School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China |
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Abstract: | In this paper, the method of upper and lower solutions and the Schauder degree theory are employed in the study of Sturm-Liouville boundary value problems for second order impulsive differential equations. We obtain the existence of at least three solutions to the problem under the assumption that the nonlinear term f satisfies a Nagumo condition with respect to the first order derivative. |
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Keywords: | 34B15 34B37 |
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