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

Pudełko, Anna

Displaying similar documents to “Existence and uniqueness of solutions Cauchy problem for nonlinear infinite systems of parabolic differential-functional equations.”

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

Brzychczy, Stanisław (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 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 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.

$L_{\infty}$ -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.