Homoclinic solutions of difference equations with variable exponents

Mihai Mihăilescu, Vicenţiu D. Rădulescu, Stepan Tersian

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.

Keywords


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

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