English

Sequences of positive homoclinic solutions to difference equations with variable exponent

Classical Analysis and ODEs 2019-07-15 v1

Abstract

We study the existence of infinitely many positive homoclinic solutions to a second-order difference equation on integers with pkp_k-Laplacian. To achieve our goal we use the critical point theory and the general variational principle of Ricceri.

Keywords

Cite

@article{arxiv.1907.05462,
  title  = {Sequences of positive homoclinic solutions to difference equations with variable exponent},
  author = {Robert Stegliński and Magdalena Nockowska-Rosiak},
  journal= {arXiv preprint arXiv:1907.05462},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T10:19:01.917Z