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Cheng, Zhibo; Xin, Yun

Multiplicity results for variable-coefficient singular third-order differential equation with a parameter. (English) Zbl 1474.34263

Abstr. Appl. Anal. 2014, Article ID 527162, 10 p. (2014).
Summary: We investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established.

Cited in 6 Documents

MSC:

34C25 Periodic solutions to ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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\textit{Z. Cheng} and \textit{Y. Xin}, Abstr. Appl. Anal. 2014, Article ID 527162, 10 p. (2014; Zbl 1474.34263)
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References:

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