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Weak homoclinic solutions of anisotropic difference equation with variable exponents
- Source :
- Advances in Difference Equations. 2012(1):154
- Publisher :
- Springer Nature
-
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.
- 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
Subjects
Details
- Language :
- English
- ISSN :
- 16871847
- Volume :
- 2012
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Advances in Difference Equations
- Accession number :
- edsair.doi.dedup.....850e01556179a9cc1f67fb5bc0d4651d
- Full Text :
- https://doi.org/10.1186/1687-1847-2012-154