A nonlocal parabolic system with application to a thermoelastic problem.

Lin, Y.; Tait, R.J.

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Displaying similar documents to “A nonlocal parabolic system with application to a thermoelastic problem.”

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.

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Messaoudi, Salim A. (2005)

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Nonlinear functional integrodifferential equations in Hilbert space.

Park, J.Y., Lee, S.Y., Lee, M.J. (1999)

International Journal of Mathematics and Mathematical Sciences

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Global existence and boundedness for quasi-variational systems.

Cantarelli, Giancarlo (1999)

International Journal of Mathematics and Mathematical Sciences

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Solvability of a coupled system of parabolic and ordinary differential equations

Algirdas Ambrazevičius (2010)

Open Mathematics

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A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.

Solvability conditions of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators

Jiří Šremr (2007)

Mathematica Bohemica

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We establish new efficient conditions sufficient for the unique solvability of the initial value problem for two-dimensional systems of linear functional differential equations with monotone operators.