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Asymptotic behavior of solutions for a nonlinear differential equation with constant impulsive jumps

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Abstract

We investigate the asymptotic behavior of solutions to the nonlinear neutral delay differential equation (1.1) with constant impulsive jumps and forced term. By employing a new approach which is different from Lyapunov functionals and an effective technic for the constant impulsive jumps, new sufficient conditions are obtained to guarantee every non-oscillatory/oscillatory solution of the equation tends to zero as t→∞. Our results improve and generalize some known results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, China

    Fangfang Jiang & Jianhua Shen

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  1. Fangfang Jiang
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  2. Jianhua Shen
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Correspondence to Jianhua Shen.

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Supported by the NNSF of China (No. 11171085), and the Zhejiang Provincial Natural Science Foundation (No. Y6090057).

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Jiang, F., Shen, J. Asymptotic behavior of solutions for a nonlinear differential equation with constant impulsive jumps. Acta Math Hung 138, 1–14 (2013). https://doi.org/10.1007/s10474-012-0282-8

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  • DOI: https://doi.org/10.1007/s10474-012-0282-8

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