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Existence and Multiplicity of Periodic Solutions for Dirichlet–Neumann Boundary Value Problem of a Variable Coefficient Wave Equation by Shuguan Ji; Yang Gao; Wenzhuang Zhu is a Mathematics article available to read on EtoBox.
What is Existence and Multiplicity of Periodic Solutions for Dirichlet–Neumann Boundary Value Problem of a Variable Coefficient Wave Equation about?
## Abstract In this paper, we consider the periodic solutions of a variable coefficient wave equation which models the forced vibrations of a nonhomogeneous string and the propagation of seismic waves in nonisotropic media. Under Dirichlet–Neumann boundary conditions, we find some important properties for the variable coefficient wave operator. Then, based on these properties, we obtain the existence and multiplicity of periodic solutions by using the Leray–Schauder degree theory.
Who reads Existence and Multiplicity of Periodic Solutions for Dirichlet–Neumann Boundary Value Problem of a Variable Coefficient Wave Equation?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Shuguan Ji; Yang Gao; Wenzhuang Zhu
- Publisher
- Walter de Gruyter GmbH
- Published
- 2016
- Language
- EN
- Field
- Mathematics (Physical Sciences)