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Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equations with delay term and variadle exponents
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  • Stanilslav Antontsev,
  • Jorge Ferreira,
  • Erhan Pişkin,
  • Hazal Yüksekkaya
Stanilslav Antontsev
Lavrentyev Institute of Hydrodynamics SB RAS
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Jorge Ferreira
Federal Fluminense University
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Erhan Pişkin
Dicle University
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Hazal Yüksekkaya
Dicle University
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Abstract

In this paper, we consider a nonlinear p .x/Laplacian equation with delay of time and variable exponents. Firstly, we prove the blow up of solutions. Then, by applying an integral inequality due to Komornik, we obtain the decay result. These results improve and extend earlier results in the literature.