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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Daoudi-Merzagui, Naima and Boucherif, Abdelkader 2015. Nonconstant periodic solutions created by impulses for singular differential equations. Boundary Value Problems, Vol. 2015, Issue. 1,


    Drábek, Pavel and Langerová, Martina 2014. Quasilinear boundary value problem with impulses: variational approach to resonance problem. Boundary Value Problems, Vol. 2014, Issue. 1, p. 64.


    Zhang, Dan Dai, Binxiang and Chen, Yuming 2014. Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions. Mathematical Methods in the Applied Sciences, Vol. 37, Issue. 10, p. 1538.


    Chu, Jifeng Sun, Juntao and Wong, Patricia J. Y. 2013. Existence for Singular Periodic Problems: A Survey of Recent Results. Abstract and Applied Analysis, Vol. 2013, p. 1.


    Daoudi-Merzagui, Naima and Boucherif, Abdelkader 2013. Variational Approach to Impulsive Differential Equations with Singular Nonlinearities. Journal of Applied Mathematics, Vol. 2013, p. 1.


    Sun, Juntao Chu, Jifeng and Chen, Haibo 2013. Periodic solution generated by impulses for singular differential equations. Journal of Mathematical Analysis and Applications, Vol. 404, Issue. 2, p. 562.


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  • Bulletin of the Australian Mathematical Society, Volume 86, Issue 2
  • October 2012, pp. 193-204

IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS

  • JUNTAO SUN (a1) and DONAL O’REGAN (a2)
  • DOI: http://dx.doi.org/10.1017/S0004972711003509
  • Published online: 16 February 2012
Abstract
Abstract

In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

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For correspondence; e-mail: sunjuntao2008@163.com
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  • ISSN: 0004-9727
  • EISSN: 1755-1633
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