Qualitative Analysis of Solutions for a Timoshenko Type Equation With Logarithmic Source Term
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Date
2025
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Univ Nis
Open Access Color
GOLD
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Abstract
This paper deals with a Timoshenko type equation with strong damping and logarithmic source terms. The global existence and the decay estimate of the solutions have been obtained. We reproduce the finite time blow up results of weak solutions by the combining of the concavity method, perturbation energy method and differential-integral inequality technique. These results extend and improve some recent results in logarithmic nonlinearity.
Description
Tunc, Cemil/0000-0003-2909-8753;
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Keywords
Timoshenko Type Equation, Concavity Method, Perturbation Energy Method, Logarithmic Nonlinearity, Blow-up in context of PDEs, concavity method, perturbation energy method, Timoshenko type equation, Existence problems for PDEs: global existence, local existence, non-existence, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Initial-boundary value problems for second-order hyperbolic equations, logarithmic nonlinearity
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Q4
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N/A
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Source
Facta Universitatis-Series Mathematics and Informatics
Volume
40
Issue
2
Start Page
261
End Page
284
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11
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