Existence theory for nonlinear functional boundary value problems.
Dhage, B.C., Henderson, Johnny (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dhage, B.C., Henderson, Johnny (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Salvatore A. Marano (1992)
Annales Polonici Mathematici
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Staněk, Svatoslav (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mahmoud Qafsaoui (2006)
Annales de l'I.H.P. Analyse non linéaire
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N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
Drici, Z., McRae, F.A., Devi, J.Vasundhara (2005)
Mathematical Problems in Engineering
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Hitoshi Ishii (2008)
Annales de l'I.H.P. Analyse non linéaire
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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.