Abstract and Applied Analysis

Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter

Zhibo Cheng and Yun Xin

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 527162, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277067

Digital Object Identifier
doi:10.1155/2014/527162

Mathematical Reviews number (MathSciNet)
MR3226202

Zentralblatt MATH identifier
07022557

Citation

Cheng, Zhibo; Xin, Yun. Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter. Abstr. Appl. Anal. 2014 (2014), Article ID 527162, 10 pages. doi:10.1155/2014/527162. https://projecteuclid.org/euclid.aaa/1412277067


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