A system of impulsive degenerate nonlinear parabolic functional- differential inequalities.
Byszewski, Ludwik (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Byszewski, Ludwik (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Byszewski, Ludwik (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Drumi Bainov, Emil Minchev (1996)
Publicacions Matemàtiques
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A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
Pao-Liu Chow (2015)
Banach Center Publications
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The paper is concerned with the problem of existence of explosive solutions for a class of nonlinear parabolic Itô equations. Under some sufficient conditions on the initial state and the coefficients, it is proven by the method of auxiliary functionals that there exist explosive solutions with positive probability. The main results are presented in Theorems 3.1 and 3.2 under different sets of conditions. An example is given to illustrate some application of the second theorem. ...
Ahmed Aberqi, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.
P. Besala (1983)
Annales Polonici Mathematici
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Peng, Y. (2010)
Abstract and Applied Analysis
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Byszewski, Ludwik (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...
H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
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V. Lj. Kocić (1985)
Matematički Vesnik
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H. Ugowski (1971)
Annales Polonici Mathematici
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