Upper and lower solutions method for a superlinear duffing equation

Authors

Chengwen Wang, Rutgers University-Newark
Denis Blackmore, New Jersey Institute of Technology
Xiaoxia Wang, Beijing Jiaotong University

Document Type

Article

Publication Date

12-25-2009

Abstract

In this paper, an upper and lower solutions theory for the forced superlinear Duffing equation x" + f(t)x' + g(t, x) = 8 a.e. t ∈ [0, T] x(0)=x(T),x'(0)=x'(T) is established, and the multiplicity of periodic solutions is discussed, where / ∈ L¹([O, T]), g(t, x) is a Carathéodory function, and s is a real parameter.

Identifier

72349096019 (Scopus)

Publication Title

Communications on Applied Nonlinear Analysis

ISSN

1074133X

First Page

19

Last Page

29

Issue

3

Volume

16

Recommended Citation

Wang, Chengwen; Blackmore, Denis; and Wang, Xiaoxia, "Upper and lower solutions method for a superlinear duffing equation" (2009). Faculty Publications. 11661.
https://digitalcommons.njit.edu/fac_pubs/11661