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Impulsive periodic boundary value problems of first-order differential equations
Authors:Jianli Li  Juan J. Nieto
Affiliation:a Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Abstract:In this paper, by using Schaeffer's theorem, we prove new existence theorems for a nonlinear periodic boundary value problem of first-order differential equations with impulses. Our results improve and generalize some known results.
Keywords:Impulsive differential equation   Periodic boundary value problem   Green's function   Schaeffer's theorem
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