Solvability of a coupled system of parabolic and ordinary differential equations

Algirdas Ambrazevičius

Displaying similar documents to “Solvability of a coupled system of parabolic and ordinary differential equations”

Solvability of a mathematical model of dissociative adsorption and associative desorption type

Algirdas Ambrazevičius, Alicija Eismontaitė (2013)

Open Mathematics

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A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.

On a parabolic integrodifferential equation of Barbashin type

B. G. Pachpatte (2011)

Commentationes Mathematicae Universitatis Carolinae

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In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.

Semilinear evolution equations of the parabolic type

Jan Bochenek (1999)

Annales Polonici Mathematici

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This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.

An immediate analysis for global superconvergence for integrodifferential equations

Qun Lin, Shu Hua Zhang (1997)

Applications of Mathematics

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In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.