-convergence.
Nguetseng, Gabriel, Svanstedt, Nils (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Nguetseng, Gabriel, Svanstedt, Nils (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Tomasz Człapiński (1992)
Annales Polonici Mathematici
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Generalized solutions to quasilinear hyperbolic systems in the second canonical form are investigated. A theorem on existence, uniqueness and continuous dependence upon the boundary data is given. The proof is based on the methods due to L. Cesari and P. Bassanini for systems which are not functional.
Zarȩba, Lech (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Jan Bochenek (1995)
Annales Polonici Mathematici
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This paper is devoted to the investigation of the abstract semilinear initial value problem , in the “hyperbolic” case.
Radoń, Małgorzata (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Dimitrios A. Kandilakis (1997)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
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.
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.
Radoń, Małgorzata (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Vorob'eva, E.V., Romanovskij, R.K. (2000)
Siberian Mathematical Journal
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Jokhadze, O. (1995)
Georgian Mathematical Journal
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