Existence of Solutions for a Viscoelastic Plate Equation with Variable Exponents and a General Source Term

The subject of this study is a nonlinear viscoelastic plate equation with variable exponents and a general source term. Through the application of the Faedo–Galerkin approximation method and a fixed point theorem under appropriate assumptions, we proved the existence of weak solutions.

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Veröffentlicht in:Mathematics (Basel) 2024-09, Vol.12 (17), p.2671
Hauptverfasser: Bouizem, Youcef, Alharbi, Asma, Boulaaras, Salah
Format: Artikel
Sprache:eng
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Zusammenfassung:The subject of this study is a nonlinear viscoelastic plate equation with variable exponents and a general source term. Through the application of the Faedo–Galerkin approximation method and a fixed point theorem under appropriate assumptions, we proved the existence of weak solutions.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12172671