ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL

In this paper, we consider a class of $ p(x, \cdot)$-integro-differential Kirchhoff-type problem with Dirichlet boundary conditions. Considering various variational methods, we establish the existence of multiple solutions taking into account the different situations concerning the non-linearity and growth conditions.

Authors

Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240104
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL

Mohammed Shimi, R. P. Agarwal, Elhoussine Azroul, N. Kamali
Journal of Applied Analysis & Computation
Differential Equations and Boundary Problems
article

ON A CLASS OF $ p(x,\cdot)$ -INTEGRO-DIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL

Mohammed Shimi, R. P. Agarwal, Elhoussine Azroul, N. Kamali
article en

Abstract

In this paper, we consider a class of $ p(x, \cdot)$-integro-differential Kirchhoff-type problem with Dirichlet boundary conditions. Considering various variational methods, we establish the existence of multiple solutions taking into account the different situations concerning the non-linearity and growth conditions.

Journal of Applied Analysis & ComputationVol. 15(1)
Openalex Percentile: Top 79%
Differential Equations and Boundary Problems
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