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Lv, Xuezhe; Wang, Libo; Pei, Minghe

Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP. (English) Zbl 1474.34181

Abstr. Appl. Anal. 2014, Article ID 518238, 11 p. (2014).
Summary: We study the existence and monotone iteration of solutions for a third-order four-point boundary value problem. An existence result of positive, concave, and pseudosymmetric solutions and its monotone iterative scheme are established by using the monotone iterative technique. Meanwhile, as an application of our results, an example is given.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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\textit{X. Lv} et al., Abstr. Appl. Anal. 2014, Article ID 518238, 11 p. (2014; Zbl 1474.34181)
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