Czechoslovak Mathematical Journal
نویسندگان
چکیده
If Y is a subset of the space × , we call a pair of continuous functions U , V Y -compatible, if they map the space n into itself and satisfy Ux ·V y > 0, for all (x, y) ∈ Y with x · y > 0. (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential n-dimensional system is investigated, provided the boundary conditions are given via a pair of compatible mappings. By using a truncation of the initial equation and restrictions of its domain, Brouwer’s fixed point theorem is applied to the composition of the consequent mapping with some projections and a one-parameter family of fixed points Pδ is obtained. Then passing to the limits as δ tends to zero the so-obtained accumulation points are solutions of the problem.
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تاریخ انتشار 2016