### On uniqueness for a system of heat equations coupled in the boundary conditions.

Kordoš, M. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Kordoš, M. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Krzysztof Topolski (1994)

Annales Polonici Mathematici

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We consider viscosity solutions for first order differential-functional equations. Uniqueness theorems for initial, mixed, and boundary value problems are presented. Our theorems include some results for generalized ("almost everywhere") solutions.

Takáč, Peter (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Josef Kalas (2000)

Archivum Mathematicum

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Kalas, Josef (2000)

Georgian Mathematical Journal

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Benedikt, Jiří (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Dobriţoiu, Maria (2006)

Acta Universitatis Apulensis. Mathematics - Informatics

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Svatoslav Staněk (1993)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

Ramishvili, I., Tadumadze, T. (2004)

Georgian Mathematical Journal

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Lomtatidze, A., Malaguti, L. (2000)

Georgian Mathematical Journal

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Xingbao Wu (1995)

Annales Polonici Mathematici

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.