A resonance problem for nonlinear Duffing equation
Pavel Drábek (1988)
Commentationes Mathematicae Universitatis Carolinae
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Pavel Drábek (1988)
Commentationes Mathematicae Universitatis Carolinae
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Eva Rovderová (1992)
Mathematica Bohemica
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In this paper we deal with the boundary value problem in the Hilbert space. Existence of a solutions is proved by using the method of lower and upper solutions. It is not necessary to suppose that the homogeneous problem has only the trivial solution. We use some results from functional analysis, especially the fixed-point theorem in the Banach space with a cone (Theorem 4.1, [5]).
Alessandro Fonda, Fabio Zanolin (1987)
Commentationes Mathematicae Universitatis Carolinae
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Martin Šenkyřík (1992)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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