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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Pudełko, Anna (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Bychowska, A. (2002)
Georgian Mathematical Journal
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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.
Leszczyński, Henryk (2000)
Georgian Mathematical Journal
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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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Jaruszewska-Walczak, Danuta (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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Wojciech Zajączkowski (1996)
Banach Center Publications
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
Ming-Xing Wang, Alberto Cabada, Juan J. Nieto (1993)
Annales Polonici Mathematici
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The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Czernous, Wojciech (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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