Ordinary differential equations with nonlinear boundary conditions.
Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Displaying similar documents to “On BVPs in l∞(A).”
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.
A fixed point theorem of Leggett-Williams type with applications to single- and multivalued equations.
Agarwal, Ravi P., O'Regan, Donal (2001)
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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Positive solutions of systems of boundary value problems.
Gerd Herzog, Roland Lemmert (2003)
Extracta Mathematicae
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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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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 the correctness of nonlinear boundary value problems for systems of generalized ordinary differential equations.
Ashordia, M. (1996)
Georgian Mathematical Journal
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Qualitative behavior of a class of second order nonlinear differential equations on the halfline
Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
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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Binarity for -categorial weakly o-minimal theories of convexity rank 1.
Kulpeshov, B.Sh. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Determination of compact subsets from functionals on them.
Stepanov, V.N. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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On a Theorem of Mierczyński
Gerd Herzog (1998)
Colloquium Mathematicae
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We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.