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Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations
Authors:Yu Tian  Daqing Jiang  Weigao Ge
Institution:

aSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, PR China

bSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China

cDepartment of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, PR China

Abstract:This paper is devoted to study the existence of multiple positive solutions for the second order periodic boundary value problem with impulse effects. The main results here are the generalization of Jiang Daqing Jiang, On the existence of positive solutions to second order periodic BVPs, Acta Math. Sci. 18 (1998) 31–35] for ordinary differential equations. Existence is established via the theory of fixed point index in cones.
Keywords:Periodic boundary value problem with impulse effects  Multiple positive solutions  Fixed point index
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