QUALITATIVE ANALYSIS OF SOLUTIONS FOR A TIMOSHENKO TYPE EQUATION WITH LOGARITHMIC SOURCE TERM

Yavuz Dinç, Nazlı Irkıl, Erhan Pişkin, Cemil Tunç

DOI Number
https://doi.org/10.22190/FUMI221202020D
First page
261
Last page
284

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.

Keywords

Timoshenko type equation, concavity method, perturbation energy method, logarithmic nonlinearity.

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References


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DOI: https://doi.org/10.22190/FUMI221202020D

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