Uniqueness implies existence for discrete fourth order Lidstone boundary-value problems.
Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A. Lasota (1980)
Annales Polonici Mathematici
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Henderson, Johnny (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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