Ordinary differential equations with nonlinear boundary conditions.
Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Displaying similar documents to “On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions”
Ordinary differential equations with nonlinear boundary conditions.
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
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.
Monotone iterative techniques and a periodic boundary value problem for first-order differential equations with a functional argument.
Qi, Aiqin, Liu, Yansheng (2000)
Georgian Mathematical Journal
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On the periodic boundary-value problem for systems of second-order nonlinear ordinary differential equations.
Gaprindashvili, G. (1995)
Georgian Mathematical Journal
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Gerd Herzog, Roland Lemmert (2005)
Extracta Mathematicae
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We prove the existence of extremal solutions of Dirichlet boundary value problems for u'' + f(t,u,u') = 0 in l(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.
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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On some two-point boundary value problems for two-dimensional systems of ordinary differential equations.
Lomtatidze, A. (1994)
Georgian Mathematical Journal
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Positive solutions of fourth-order boundary value problem with variable parameters.
Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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On the correctness of nonlinear boundary value problems for systems of generalized ordinary differential equations.
Ashordia, M. (1996)
Georgian Mathematical Journal
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Multiple positive solutions for nonlinear singular third-order boundary value problem in abstract spaces.
Zhang, Fang (2008)
The Journal of Nonlinear Sciences and its Applications
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Solvability of some singular and nonsingular nonlinear third order boundary value problems
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.
On two-point boundary value problems for two-dimensional differential systems with singularities.
Mukhigulashvili, S. (2003)
Georgian Mathematical Journal
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Sturm-Liouville and focal higher order BVPs with singularities in phase variables.
Rachůnková, Irena, Staněk, Svatoslav (2003)
Georgian Mathematical Journal
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