Yazar "Piskin, E." seçeneğine göre listele

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    Öğe
    BLOW-UP ANALYSIS FOR A CLASS OF PLATE VISCOELASTIC p(x) TYPE INVERSE SOURCE PROBLEM WITH VARIABLE-EXPONENT NONLINEARITIES
    (Sobolev Inst Mathematics, 2022) Shahrouzi, M.; Ferreira, J.; Piskin, E.; Boumaza, N.
    In this work, we study the blow-up analysis for a class of plate viscoelastic p(x)-Kirchhoff type inverse source problem of the form: utt + Delta(2) u -( alpha + b integral(Omega) 1/p(x) vertical bar del u vertical bar(p(x)) dx ) Delta p(x)u - integral(t)(0) g(t - tau)Delta(2) u(tau)d tau Under suitable conditions on kernel of the memory, initial data and variable exponents, we prove the blow up of solutions in two cases: linear damping term (m(x) equivalent to 2) and nonlinear damping term (m(x) > 2). Precisely, we show that the solutions with positive initial energy blow up in a finite time when m(x) equivalent to 2 and blow up at infinity if m(x) > 2
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    Öğe
    Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
    (Semnan Univ, 2020) Piskin, E.
    In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u(tt) - M(parallel to del u parallel to(2)) Delta u + vertical bar u(t)vertical bar(p(x)-2) ut = vertical bar u vertical bar(q(x)-2) u. We proved the blow up of solutions in finite time by using modified energy functional method.
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    Öğe
    LOCAL EXISTENCE AND BLOW UP FOR P-LAPLACIAN EQUATION WITH LOGARITHMIC NONLINEARITY
    (Univ Miskolc Inst Math, 2022) Irkil, Nazli; Piskin, E.
    This paper deals with a problem of a wave equation with p-Laplacian and logarithmic nonlinearity term. Firstly, local existence of weak solutions have been obtained by applying Banach fixed theorem. Later, the finite-time blow up of the solutions have been obtained for negative initial energy.