Nontrivial, nonnegative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
نویسندگان
چکیده
منابع مشابه
Non-trivial, non-negative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
We study the existence of non-trivial, non-negative periodic solutions for systems of singulardegenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary conditions. The method employed in this paper is based on the Leray-Schauder topological degree theory. However, verifying the conditions under which such a theory applies is more involved due to the presence of the si...
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We correct a flaw in the proof of [1, Lemma 2.3]. 1. Corrigendum. This Corrigendum concerns the proof of [1, Lemma 2.3]. In that proof there is a flaw in the estimate of log xk due to an incorrect inequality. We provide here a correct estimate of log xk in 1.5 which preserves the validity of Lemma 2.3. For the reader convenience we recall the statement of Lemma 2.3 and we give its complete proo...
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The aim of the paper is to provide conditions ensuring the existence of non-trivial non-negative periodic solutions to a system of doubly degenerate parabolic equations containing delayed nonlocal terms and satisfying Dirichlet boundary conditions. The employed approach is based on the theory of the Leray-Schauder topological degree theory, thus a crucial purpose of the paper is to obtain a pri...
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We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is prove...
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Abstract This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution to exist globally or blow up in finite time are obtained. Furthermore, under c...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2015
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199714500254