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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Brzychczy, Stanisław (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Bychowska, A. (2002)
Georgian Mathematical Journal
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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.
Pudełko, Anna (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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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.
Wojciech Zajączkowski (1996)
Banach Center Publications
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Existence of weak solutions and an -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The -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.
Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Leszczyński, Henryk (2000)
Georgian Mathematical Journal
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Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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Kamont, Zdzisław (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jangveladze, T., Kiguradze, Z. (2002)
Georgian Mathematical Journal
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Człapiński, Tomasz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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J. I. Díaz (2001)
Extracta Mathematicae
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