On a nonlocal boundary value problem for second-order nonlinear singular differential equations.
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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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.
Ashordia, M. (1996)
Georgian Mathematical Journal
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Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Rachůnková, Irena, Staněk, Svatoslav (2003)
Georgian Mathematical Journal
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D. O'Regan (1991)
Annales Polonici Mathematici
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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
John W. Lee, Donal O'Regan (1993)
Commentationes Mathematicae Universitatis Carolinae
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This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.