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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Displaying similar documents to “Finding the Boundary Curves of the Third Order Linear Ordinary Differential Equation”
On two-point boundary value problems for systems of ordinary non-linear, first-order differential equations
Remarks on a three-point boundary value problem in a differential equation of the third order
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Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities
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.