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arXiv · 1907.05462

Sequences of positive homoclinic solutions to difference equations with variable exponent

Robert Stegliński·Magdalena Nockowska-Rosiak
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Abstract

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

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Robert Stegliński, Magdalena Nockowska-Rosiak. 2019-07-11. Sequences of positive homoclinic solutions to difference equations with variable exponent. https://arxiv.org/abs/1907.05462

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