On the existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.

Brzychczy, Stanisław

Displaying similar documents to “On the existence of solutions of nonlinear infinite systems of parabolic differential-functional equations.”

Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations

Stanisław Brzychczy (1999)

Annales Polonici Mathematici

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We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.

Existence and uniqueness of solutions Cauchy problem for nonlinear infinite systems of parabolic differential-functional equations.

Pudełko, Anna (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Quasilinearization methods for nonlinear parabolic equations with functional dependence.

Bychowska, A. (2002)

Georgian Mathematical Journal

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Existence of solutions of the Cauchy problem for semilinear infinite systems of parabolic differential-functional equations.

Pudełko, Anna (2004)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Initial-boundary value problems for impulsive parabolic functional differential equations

D. Bainov, Zdzisław Kamont, E. Minchev (1996)

Applicationes Mathematicae

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Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.

Global existence of solutions of parabolic problems with nonlinear boundary conditions

Pavol Quittner (1996)

Banach Center Publications

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$L_{\infty}$ -estimates for solutions of nonlinear parabolic systems with gradient linear growth

Wojciech Zajączkowski (1996)

Banach Center Publications

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Existence of weak solutions and an $L_{\infty}$ -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The $L_{\infty}$ -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.