The existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces

DOI10.1016/j.na.2010.05.038zbMath1198.35157OpenAlexW2072871809MaRDI QIDQ988861

R. R. Carvalho, Manuel Milla Miranda

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.05.038

zbMATH Keywords

successive approximation methodlocal and global solutionsArzela-Áscoli theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (2)

Modelling trends in ordered correspondence analysis using orthogonal polynomials ⋮ Global solution and exponential decay for a nonlinear hyperbolic equation in Banach spaces

Cites Work

• Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces
• On a global solution of some quasilinear hyperbolic equation
• Global classical solutions to the Cauchy problem for a nonlinear wave equation
• Local solutions for a nonlinear degenerate Hyperbolic equation
• Some nonlinear degenerate wave equations
• Mathematical analysis of the nonlinear model for the vibrations of a string
• On local solutions of some mildly degenerate hyperbolic equations
• On the mildly degenerate Kirchhoff string
• On the non-linear vibration problem of the elastic string
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