On two-point boundary value problems for systems of ordinary non-linear, first-order differential equations
A. Lasota (1975)
Annales Polonici Mathematici
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A. Lasota (1975)
Annales Polonici Mathematici
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M. Greguš (1974)
Annales Polonici Mathematici
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Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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W. Ayres (1929)
Fundamenta Mathematicae
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K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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Nikolskij, S.
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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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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.