Multiple Solutions for a Second-Order Differential Equation Model with Two Parameters via a Variational Method

Author

Li, Peiluan ; Chang, Zhiyong

Author_Institution

Dept. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China

fYear

2012

fDate

21-23 April 2012

Firstpage

81

Lastpage

85

Abstract

In this paper, we investigate a second-order differential equation model. Multiplicity of solutions for the second-order differential equations with periodic boundary conditions are considered by variational methods and a three-critical-points theorem. To illustrate the main results, an example is given. This kind of problem arises in the study of many neural network, information systems phenomena. The proposed method in this paper can provide better results over other literatures.

Keywords

differential equations; variational techniques; information systems phenomena; multiple solutions; neural network; periodic boundary conditions; second-order differential equation model; three-critical-points theorem; variational method; Boundary conditions; Differential equations; Equations; Information systems; Mathematical model; Neural networks; Multiple solutions; Periodic boundary conditions; Variational methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Internet Computing for Science and Engineering (ICICSE), 2012 Sixth International Conference on

Conference_Location

Henan

Print_ISBN

978-1-4673-1683-5

Type

conf

DOI

10.1109/ICICSE.2012.27

Filename

6239724