Global in time solutions to quasilinear telegraph equations involving operators with time delay

DOI10.21136/AM.1991.104482zbMath0752.45012OpenAlexW2606453870MaRDI QIDQ1184943

Eduard Feireisl

Publication date: 28 June 1992

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15693

zbMATH Keywords

time-delaytime-periodic solutionsbounded solutionsabstract evolution equationnonlinear coefficientsnonlinear right-hand sidequasilinear telegraph equationssmall global solution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Related Items (1)

On the stability of the telegraph equation with time delay

Cites Work

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• Linear second order differential equations in Hilbert spaces. The Cauchy problem and asymptotic behaviour for large time
• On the Cauchy problem for quasilinear hyperbolic systems with a retarded argument
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• On a new class of nonlinear wave equations
• Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
• Time-periodic solutions of telegraph equations in $n$ spatial variables
• Remark on the decay for damped string and beam equations
• Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
• Small time-periodic solutions to a nonlinear equation of a vibrating string
• Periodic solutions of nonlinear hyperbolic partial differential equations. II

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