Positive periodic solutions to a nonlinear fourth-order differential equation
Chunhua Jin - Department of Mathematics, Jilin University, Changchun 130012, China (email)
Abstract: 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: Positive periodic solutions, the first positive eigenvalue,
fixed point index.
Received: October 2007; Revised: March 2008; Available Online: June 2008.
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