NEUMANN BOUNDARY VALUE PROBLEMS FOR LOWERSEMI-CONTINUOUS NON-CONVEX DIFFERENTIALINCLUSIONS WITH ϕ−LAPLACIAN

Using a combination of upper and lower solutions method with the topological degree approach, we establish the existence of solutions that satisfy the Neumann conditions for the given differential inclusion ((x (t))) F (t, x(t)), where F denotes a lower semi-continuous multi-valued map and represents an homeomorphism.

Publication Details

Journal
Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Published
2025-01-01
DOI
https://doi.org/10.30546/2409-4994.2025.51.1.1006
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

NEUMANN BOUNDARY VALUE PROBLEMS FOR LOWERSEMI-CONTINUOUS NON-CONVEX DIFFERENTIALINCLUSIONS WITH ϕ−LAPLACIAN

Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Differential Equations and Boundary Problems
article

NEUMANN BOUNDARY VALUE PROBLEMS FOR LOWERSEMI-CONTINUOUS NON-CONVEX DIFFERENTIALINCLUSIONS WITH ϕ−LAPLACIAN

article en

Abstract

Using a combination of upper and lower solutions method with the topological degree approach, we establish the existence of solutions that satisfy the Neumann conditions for the given differential inclusion ((x (t))) F (t, x(t)), where F denotes a lower semi-continuous multi-valued map and represents an homeomorphism.

Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan
Reduced inequalities
Openalex Percentile: Top 83%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
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NEUMANN BOUNDARY VALUE PROBLEMS FOR LOWERSEMI-CONTINUOUS NON-CONVEX DIFFERENTIALINCLUSIONS WITH ϕ−LAPLACIAN · Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan (2025) | TGRS Research Map | TGRS