## Abstract and Applied Analysis

### Heteroclinic Solutions for Nonautonomous EFK Equations

Y. L. Yeun

#### Abstract

We explore the nonautonomous fourth-order differential equation which has important applications in materials science. By variational approach, we find heteroclinic solutions of the equation. The conditions on the potential function $V\left(t,u\right)$ are mild enough to include a broad class of equations. We also consider a separate case where $V\left(t,u\right)$ is periodic in $t$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 138623, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511826

Digital Object Identifier
doi:10.1155/2013/138623

Mathematical Reviews number (MathSciNet)
MR3039175

Zentralblatt MATH identifier
1280.34051

#### Citation

Yeun, Y. L. Heteroclinic Solutions for Nonautonomous EFK Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 138623, 9 pages. doi:10.1155/2013/138623. https://projecteuclid.org/euclid.aaa/1393511826

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