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Start Over Author "Blaise Kone" Journal advances in difference equations
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1. Weak homoclinic solutions of anisotropic difference equation with variable exponents

Author

Blaise Kone, Aboudramane Guiro, and Stanislas Ouaro

Subjects
Partial differential equation, Algebra and Number Theory, Method of characteristics, Differential equation, Simultaneous equations, Ordinary differential equation, Applied Mathematics, Mathematical analysis, Finite difference method, Homoclinic orbit, Differential algebraic equation, Analysis, Mathematics
Abstract

In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.

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