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Peng, Shiguo

Positive solutions for first order periodic boundary value problem. (English) Zbl 1082.34510

Appl. Math. Comput. 158, No. 2, 345-351 (2004).
Existence and multiplicity of positive solutions for scalar first-order periodic boundary value problems are proved by using fixed-point theorems in cones. The results could be easily obtained by using upper and lower solutions.
Reviewer: Pierpaolo Omari (Trieste)

Cited in 19 Documents

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations

Keywords:

first-order periodic boundary value problem; positive solution; fixed-point theorem; cone
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\textit{S. Peng}, Appl. Math. Comput. 158, No. 2, 345--351 (2004; Zbl 1082.34510)
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References:

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