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