Homoclinic solutions of difference equations with variable exponents
Keywords
Homoclinic solution, non-homogeneous difference equation, variable exponent, mountain-pass lemmaAbstract
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.Downloads
Published
2011-04-23
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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 29 March 2024].
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