Abstract
In the present paper, we establish a new topological existence result derived from the Leray-Schauder degree and show the existence of a nontrivial homoclinic solution for a class of non-homogeneous anisotropic difference equation settled in the variable exponent sequence space lp(k)(Z).
Original language | English |
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Pages (from-to) | 328-343 |
Number of pages | 16 |
Journal | Annals of the University of Craiova, Mathematics and Computer Science Series |
Volume | 46 |
Issue number | 2 |
Publication status | Published - 2019 |
Keywords
- Difference equation
- Homoclinic solution
- The leray-schauder degree
- Topological methods
- Variable exponent sequence space