Email this article Boundary Value Problem for the φ-Laplacian with Operator Right-Hand Side
- Authors: Lepin A.Y.1
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Affiliations:
- University of Latvia
- Issue: Vol 54, No 12 (2018)
- Pages: 1560-1565
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154890
- DOI: https://doi.org/10.1134/S0012266118120030
- ID: 154890
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Abstract
Abstract—General sufficient conditions for the existence of a solution of a boundary value problem for the φ-Laplacian with functional boundary conditions are obtained. As a consequence of this result, natural restrictions on the lower and upper functions are obtained under which there exists a solution of a periodic boundary value problem for the φ-Laplacian. Several applications of this results to the proof of the existence of solutions of boundary value problems for higher-order equations are given.
About the authors
A. Ya. Lepin
University of Latvia
Author for correspondence.
Email: ctr34@inbox.lv
Latvia, Riga, LV, 1459
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