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    Blow up and asymptotic behavior of solutions for a p(X)-laplacian equation with delay term and variable exponents
    (Texas State University - San Marcos, 2021) Antontsev S.; Ferreira J.; Pişkin E.; Yüksekkaya H.; Shahrouzi M.
    In this article, we consider a nonlinear p(x)-Laplacian equation with time delay 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. © 2021. This work is licensed under a CC BY 4.0 license.
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    Öğe
    Existence and blow up of solutions for a strongly damped petrovsky equation with variable-exponent nonlinearities
    (Texas State University - San Marcos, 2021) Antontsev S.; Ferreira J.; Pişkin E.
    In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on the variable exponents p(·) and q(·). Then we show that the solution is global if p(·) ? q(·). Also, we prove that a solution with negative initial energy and p(·) < q(·) blows up in finite time. © 2021 Texas State University.