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Sequences of positive homoclinic solutions to difference equations with variable exponent

  • Robert Stegliński EMAIL logo and Magdalena Nockowska-Rosiak
Published/Copyright: March 10, 2020
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Abstract

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

  1. (Communicated by Michal Fečkan )

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Received: 2019-07-29
Accepted: 2019-09-04
Published Online: 2020-03-10
Published in Print: 2020-04-28

© 2020 Mathematical Institute Slovak Academy of Sciences

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