Quasilinearization methods for nonlinear parabolic equations with functional dependence.

Bychowska, A.

Displaying similar documents to “Quasilinearization methods for nonlinear parabolic equations with functional dependence.”

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Leszczyński, Henryk (2000)

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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Infinite systems of hyperbolic differential-functional inequalities.

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Wojciech Zajączkowski (1996)

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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.

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.

Higher integrability for weak solutions of higher order degenerate parabolic systems.

Bögelein, Verena (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Czernous, Wojciech (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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