Three point boundary value problem for singularly perturbed semilinear differential equations.
Vrábel, Róbert (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Vrábel, Róbert (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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M. Greguš (1974)
Annales Polonici Mathematici
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Christopher C. Tisdell (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to...
Milan Đurić (1965)
Publications de l'Institut Mathématique
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Xi, Shouliang, Jia, Mei, Ji, Huipeng (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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Cabada, Alberto (2011)
Boundary Value Problems [electronic only]
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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P. Ch. Tsamatos (2004)
Annales Polonici Mathematici
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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.
K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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Farrell, P.A., O'Riordan, E., Miller, J.J.H., Shishkin, G.I. (2001)
Computational Methods in Applied Mathematics
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