Positive Solutions for Higher Order Ordinary Differential Equations
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Solutions that are positive with respect to a cone are obtained for the boundary value problem, u(n) + a(t)f (u) = 0, u(i)(0) = u(n−2)(1) = 0, 0 ≤ i ≤ n − 2, in the cases that f is either superlinear or sublinear. The methods involve application of a fixed point theorem for operators on a cone.
CitationEloe, P. W. & Henderson, J. (1995). Positive solutions for higher order ordinary differential equations. Electronic Journal of Differential Equations, 1995(03), pp. 1-8.
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