Homoclinic solutions of difference equations with variable exponents

Authors

  • Mihai Mihăilescu
  • Vicenţiu D. Rădulescu
  • Stepan Tersian

Keywords

Homoclinic solution, non-homogeneous difference equation, variable exponent, mountain-pass lemma

Abstract

We study the existence of homoclinic solutions for a class of non-homogeneous difference equation with periodic coefficients. Our proofs rely on the critical point theory combined with adequate variational techniques, which are mainly based on the mountain-pass lemma.

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Published

2011-04-23

How to Cite

1.
MIHĂILESCU, Mihai, RĂDULESCU, Vicenţiu D. and TERSIAN, Stepan. Homoclinic solutions of difference equations with variable exponents. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 2, pp. 277 - 289. [Accessed 6 July 2025].

Issue

Vol 38, No 2 (December 2011)

Section

Articles

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