Linear recursive schemes and asymptotic expansion associated with the Kirchhoff-Carrier operator
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Publication:5961157
DOI10.1006/jmaa.2001.7755zbMath1004.35095OpenAlexW1999871732MaRDI QIDQ5961157
Tran Ngoc Diem, Pham Ngoc Dinh, Alain, Nguyen Thanh Long
Publication date: 16 October 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2001.7755
Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some nonlinear perturbation of Kirchhoff-Carrier operator
- On the nonlinear vibrations equation with a coefficient containing an integral
- Local solutions for a nonlinear degenerate Hyperbolic equation
- Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
- Some nonlinear degenerate wave equations
- ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
- On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
- On the non-linear vibration problem of the elastic string
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