Existence and asymptotic behavior of smooth solutions for the nonlinear transmission line problem

DOI10.1080/00036819008839970zbMath0792.35121OpenAlexW1987443390WikidataQ58154142 ScholiaQ58154142MaRDI QIDQ4292185

Frederick Bloom, Hamid Bellout

Publication date: 1 June 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839970

zbMATH Keywords

asymptotic behaviornonlinear transmission lineglobal existence theoremdamped nonlinear wave equationevolution of the charge in the line

Mathematics Subject Classification ID

Cites Work

• A nonlinear functional differential equation in Banach space with applications to materials with fading memory
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• A condition implying the global existence of \(C^ 1\) solutions for a class of nonlinear transmission lines
• Formation of shock discontinuities for a class of nonlinear transmission lines
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• Global existence and asymptotic stability of solutions to the Cauchy problem for wave propagation in nonlinear dielectric media
• Nonlinear Effects in Transmission Lines

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