An application of variational method to second-order impulsive differential equation on the half-line |
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Authors: | Haibo Chen |
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Affiliation: | Department of Mathematics, Central South University, Changsha, 410075 Hunan, People’s Republic of China |
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Abstract: | In this paper, we study the multiplicity of solutions for second-order impulsive differential equation with a parameter on the half-line. By using a variational method and a three critical points theorem, we give some new criteria to guarantee that the impulsive problem has at least three classical solutions. Also an example is given in this paper to illustrate the main results. |
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Keywords: | Impulsive differential equation Boundary value problem Half-line Critical points Variational method |
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