Boundary value problems for systems of second-order functional differential equations.
Staněk, Svatoslav (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Staněk, Svatoslav (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ivan Kiguradze, Bedřich Půža (1997)
Czechoslovak Mathematical Journal
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B. G. Pachpatte (2010)
Commentationes Mathematicae Universitatis Carolinae
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The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.
Fang, Ya-Ping, Huang, Nan-Jing, Cho, Yeol Je (2007)
Journal of Inequalities and Applications [electronic only]
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Cernea, Aurelian (2007)
Applied Mathematics E-Notes [electronic only]
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Bogdan Przeradzki (1993)
Annales Polonici Mathematici
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A connection between the Landesman-Lazer condition and the solvability of the equation Lx = N(x) in a cone with a noninvertible linear operator L is studied. The result is based on the abstract framework from [5], applied to the existence of periodic solutions of ordinary differential equations, and compared with theorems by Santanilla (see [7]).
Avramescu, Cezar (2002)
Abstract and Applied Analysis
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L. H. Erbe, W. Krawcewicz (1991)
Annales Polonici Mathematici
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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Salvatore A. Marano (1992)
Annales Polonici Mathematici
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