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September  2008, 7(5): 1225-1235. doi: 10.3934/cpaa.2008.7.1225

Positive periodic solutions to a nonlinear fourth-order differential equation

Chunhua Jin 1, , Jingxue Yin 2, and  Zejia Wang 1,

1. 

Department of Mathematics, Jilin University, Changchun 130012, China, China
2. 

Department of Mathematics, and Key Laboratory of Symbolic Computation, and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012

Received  October 2007 Revised  March 2008 Published  June 2008

This paper is concerned with the existence of positive periodic solutions to a nonlinear fourth-order differential equation. By virtue of the first positive eigenvalue of the linear equation corresponding to the nonlinear fourth order equation, we establish the existence result by using the fixed point index theory in a cone.
Keywords: the first positive eigenvalue, Positive periodic solutions, fixed point index..
Mathematics Subject Classification: 34C25, 34B2.
Citation: Chunhua Jin, Jingxue Yin, Zejia Wang. Positive periodic solutions to a nonlinear fourth-order differential equation. Communications on Pure & Applied Analysis, 2008, 7 (5) : 1225-1235. doi: 10.3934/cpaa.2008.7.1225
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