Hierarchies of difference boundary value problems.
Currie, Sonja, Love, Anne D. (2011)
Boundary Value Problems [electronic only]
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Currie, Sonja, Love, Anne D. (2011)
Boundary Value Problems [electronic only]
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Emil Vitásek (2000)
Applications of Mathematics
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It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems. ...
M. Greguš (1974)
Annales Polonici Mathematici
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Janusz Traple (1977)
Annales Polonici Mathematici
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K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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Kwong, Man Kam, Wong, James S.W. (2007)
Boundary Value Problems [electronic only]
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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Jenkinson, Oliver (2000)
Experimental Mathematics
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zdzisław Denkowski (1970)
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.
Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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