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Multiple Solutions of Second‐Order Damped Impulsive Differential Equations with Mixed Boundary Conditions

Author

Listed:
  • Jian Liu
  • Lizhao Yan

Abstract

We use variational methods to investigate the solutions of damped impulsive differential equations with mixed boundary conditions. The conditions for the multiplicity of solutions are established. The main results are also demonstrated with examples.

Suggested Citation

  • Jian Liu & Lizhao Yan, 2014. "Multiple Solutions of Second‐Order Damped Impulsive Differential Equations with Mixed Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:356745
    DOI: 10.1155/2014/356745
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    References listed on IDEAS

    as
    1. Chuangxia Huang & Changlin Peng & Xiaohong Chen & Fenghua Wen, 2013. "Dynamics Analysis of a Class of Delayed Economic Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Chuangxia Huang & Changlin Peng & Xiaohong Chen & Fenghua Wen, 2013. "Dynamics Analysis of a Class of Delayed Economic Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, April.
    3. Lizhao Yan & Jian Liu & Zhiguo Luo, 2013. "Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, October.
    4. Jiao, Jianjun & Yang, Xiaosong & Chen, Lansun & Cai, Shaohong, 2009. "Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2280-2287.
    5. Guangzhao Zeng & Fengyan Wang & Juan J. Nieto, 2008. "Complexity Of A Delayed Predator–Prey Model With Impulsive Harvest And Holling Type Ii Functional Response," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 77-97.
    6. Lizhao Yan & Jian Liu & Zhiguo Luo, 2013. "Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

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