The Solution of Two-Point Boundary Value Problem of a Class of Duffing-Type Systems with Non- Perturbation Term

Springer Science and Business Media LLC - Tập 2009 - Trang 1-12 - 2009
Jiang Zhengxian1, Huang Wenhua1
1School of Sciences, Jiangnan University, Wuxi Jiangsu, China

Tóm tắt

This paper deals with a two-point boundary value problem of a class of Duffing-type systems with non- perturbation term. Several existence and uniqueness theorems were presented.

Tài liệu tham khảo

Tersian SA: A minimax theorem and applications to nonresonance problems for semilinear equations. Nonlinear Analysis: Theory, Methods & Applications 1986, 10(7):651–668. 10.1016/0362-546X(86)90125-2 Wenhua H, Zuhe S: Two minimax theorems and the solutions of semilinear equations under the asymptotic non-uniformity conditions. Nonlinear Analysis: Theory, Methods & Applications 2005, 63(8):1199–1214. 10.1016/j.na.2005.02.125 Wenhua H: Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations. Journal of Mathematical Analysis and Applications 2006, 322(2):629–644. 10.1016/j.jmaa.2005.09.046 Wenhua H: A minimax theorem for the quasi-convex functional and the solution of the nonlinear beam equation. Nonlinear Analysis: Theory, Methods & Applications 2006, 64(8):1747–1756. 10.1016/j.na.2005.07.023 Ting Z, Wenhua H: The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance. Boundary Value Problems 2008, 2008:-9.