Remarks on a three-point boundary value problem in a differential equation of the third order
M. Greguš (1974)
Annales Polonici Mathematici
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M. Greguš (1974)
Annales Polonici Mathematici
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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K. S. Padmanabhan, R. Parvatham (1976)
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.
Andrzej Czarnecki, Marcin Kulczycki, Wojciech Lubawski (2011)
Annales Polonici Mathematici
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This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.
Jenkinson, Oliver (2000)
Experimental Mathematics
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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...
Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Some sufficient conditions for the existence of solutions to boundary value problem for differential inclusions are given.
D. K. Thomas (1989)
Publications de l'Institut Mathématique
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Jan Popiołek (1997)
Annales Polonici Mathematici
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We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
Nikolskij, S.
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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