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 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 2227-7390 2227-7390 |
DOI: | 10.3390/math12172671 |