On some differential equations involving a new kind of variable exponents

On some differential equations involving a new kind of variable exponents

In this paper, we are concerned with some new first order differential equation defined on the whole real axis $\mathbb{R}.$ The principal part of the equation involves an operator with variable exponent $p$ depending on the variable $x \in \mathbb{R} $ through the unknown solution while the nonline...

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Bibliographic Details
Main Author: Sami Aouaoui
Format: Article
Language:English
Published: University of Szeged 2022-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
$p(u)$-laplacian
variable exponents
schauder's fixed point theorem
approximation scheme
weighted sobolev space
existence result
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9605

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9605

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