Abstract
In this paper, we consider the existence of multiple solutions for second-order nonlinear impulsive differential equations with Dirichlet boundary condition. We obtain some existence theorems of solutions for the nonlinear problem when the impulsive functions satisfies the superlinear growth conditions by critical point theory. We extend and improve some recent results.
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D. Zhang was supported by the General Project of Department of Education of Hunan Province (No.11C0594) and the National Natural Science Foundation of China (No.10971229).
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Zhang, D. Multiple Solutions of Nonlinear Impulsive Differential Equations with Dirichlet Boundary Conditions via Variational Method. Results. Math. 63, 611–628 (2013). https://doi.org/10.1007/s00025-011-0221-y
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DOI: https://doi.org/10.1007/s00025-011-0221-y