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Wang, Ying; Li, Jing; Cai, Zengxia

Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter. (English) Zbl 1360.34053

Bound. Value Probl. 2017, Paper No. 49, 11 p. (2017).
Summary: In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for \(\lambda\) is derived such that for any \(\lambda\) lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.

Cited in 2 Documents

MSC:

34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations

Keywords:

positive solution; periodic boundary conditions; second-order differential equation; singularity

Software:

Green
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References:

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