The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method |
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Authors: | Juntao Sun Haibo Chen |
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Institution: | a Department of Mathematics, Central South University, Changsha, 410075 Hunan, People’s Republic of China b Department of Mathematics, Hengyang Normal University, Hengyang, 421008 Hunan, People’s Republic of China |
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Abstract: | In this paper, we study the existence and multiplicity of classical solutions for a second-order impulsive differential equation with periodic boundary conditions. By using a variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions and infinitely many solutions when the parameter pair (c,λ) lies in different intervals, respectively. Some examples are given in this paper to illustrate the main results. |
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Keywords: | 34B08 34B37 |
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