Title :
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
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;
Conference_Titel :
Internet Computing for Science and Engineering (ICICSE), 2012 Sixth International Conference on
Conference_Location :
Henan
Print_ISBN :
978-1-4673-1683-5
DOI :
10.1109/ICICSE.2012.27
