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P(X)-BI-LAPLACIAN: APPLICATION ON TIME-PDES VISCOELASTICITY

Khaled Zennir, Svetlin G Georgiev

EPUB
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World Scientific Publishing Company img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and obtained many results in quantitative and qualitative point of view.

Contents:

  • Introduction
  • Love-Type Waves with Past History
  • Viscoelastic Wave Equation with Power Nonlinearity
  • Plate Equation in ℝn
  • Nonexistence of Global Solutions for Nonlinear Equation via Contradiction Argument
  • Nonlinear Wave p-Laplace Equation
  • Nonlinear Kirchhoff-Type Equations with Kelvin–Voigt Damping in Variable Exponents
  • Nonlocal Systems Involving the p(x)-Laplacian Operator
  • Dynamics of a Coupled System for Nonlinear Damped Wave Equations with Variable Exponents
  • Pseudo-Parabolic Equations with p(x) Bi-Laplacian

Readership: The book is suitable for researchers in PDEs, mathematics, physics, biology, chemistry, and informatics. It can be used for some courses for master degree in mathematics and PhD students.

Key Features:

  • The book stands out due to its distinctive and innovative ideas and approaches

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