Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient

journal6 ›› 2010, Vol. 31 ›› Issue (6): 9-13.

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Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient

（Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China）

Online:2010-11-25 Published:2012-04-11
About author:YAO Qing-liu(1946-),male,was born in Shanghai City,professor,research area is applied differential euqation.
Supported by:
National Natural Science Foundation of China(11071109)

Abstract

Abstract: The positive solutions of a nonlinear third-order periodic boundary value problem with variable coefficient are studied.The nonlinear term may be singular with respect to the space variable.By making use of a suitable transformation,the problem is transformed into a Hammerstein integral equation.By applying Guo-Krasnosel'skii fixed point theorem on cone,the existence of one and two po sitive solutions is proved.

Key words: periodic boundary value problem, positive solution, fixed point theorem on cone

YAO Qing-Liu. Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient[J]. journal6, 2010, 31(6): 9-13.

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Positive Solutions of Third-Order Periodic Boundary Value Problems with Variable Coefficient

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