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The Existence and Multiplicity of Solutions for Second-order Impulsive Differential Equations on the Half-line

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Abstract

In this paper, we consider the existence and multiplicity of solutions for a class of nonlinear impulsive problem on the half-line. By using a variational method and a variant fountain theorem, we obtain some new criteria to guarantee that the impulsive problem has at least one solution and infinitely many solutions respectively. We extend and improve some recent results.

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Authors and Affiliations

  1. Department of Mathematics, Central South University, Changsha, 410075, Hunan, People’s Republic of China

    Binxiang Dai & Dan Zhang

  2. Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, 425100, Hunan, People’s Republic of China

    Dan Zhang

Authors
  1. Binxiang Dai
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  2. Dan Zhang
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Correspondence to Dan Zhang.

Additional information

This paper is supported by the National Natural Science Foundation of China (No. 10971229).

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Dai, B., Zhang, D. The Existence and Multiplicity of Solutions for Second-order Impulsive Differential Equations on the Half-line. Results. Math. 63, 135–149 (2013). https://doi.org/10.1007/s00025-011-0178-x

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  • DOI: https://doi.org/10.1007/s00025-011-0178-x

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