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On the solvability of periodic boundary value problems with impulse |
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| Authors: | Jinhai Chen Rong Yuan |
| Institution: | a Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong b School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia c Department of Mathematics, Beijing Normal University, Beijing 100875, PR China |
| Abstract: | In this work we obtain some new results concerning the existence of solutions to an impulsive first-order, nonlinear ordinary differential equation with periodic boundary conditions. The ideas involve differential inequalities and Schaefer's fixed-point theorem. |
| Keywords: | Existence of solutions Boundary value problems Impulsive equations Fixed-point theory |
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