Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms

DOI10.1515/math-2015-0040zbMath1348.35032OpenAlexW1279263432WikidataQ114963143 ScholiaQ114963143MaRDI QIDQ317676

Erhan Pişkin

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0040

zbMATH Keywords

existencedecayblow upBanach contraction mapping principleNakao's inequalityextensible beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Related Items

Unnamed Item, Global existence and energy decay for a coupled system of Kirchhoff beam equations with weakly damping and logarithmic source, Blow-up phenomena for a class of extensible beam equations, Blow-up for the Timoshenko-type equation with variable exponents, On a beam model with degenerate nonlocal nonlinear damping, Unnamed Item, Unnamed Item, Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents, On the solutions for an extensible beam equation with internal damping and source terms, Existence and non-existence of solutions for Timoshenko-type equations with variable exponents

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