IJPAM: Volume 35, No. 3 (2007)
THE SOLUTION FOR A KIRCHHOFF-TYPE BEAM
EQUATIONS WITH NONLINEAR BOUNDARY
EQUATIONS WITH NONLINEAR BOUNDARY
Yuzhen Chai
, Jianwen Zhang
, Guitong Yang
, Qingshi Li
Department of Mathematics
Taiyuan University of Technology
Taiyuan, Shanxi, 030024, P.R. CHINA
e-mail: chaiyuzhen@tyut.edu.cn
Institute of Applied Mechanics
Taiyuan University of Technology
Taiyuan, Shanxi, 030024, P.R. CHINA
e-mail: gtyang@tyut.edu.cn
, Jianwen Zhang, Guitong Yang, Qingshi Li
Department of Mathematics
Taiyuan University of Technology
Taiyuan, Shanxi, 030024, P.R. CHINA
e-mail: chaiyuzhen@tyut.edu.cn
Institute of Applied Mechanics
Taiyuan University of Technology
Taiyuan, Shanxi, 030024, P.R. CHINA
e-mail: gtyang@tyut.edu.cn
Abstract.In this paper we establish one kind of equations of nonlinear beam subjected to axial forces
and transverse load. We also prove the existence and uniqueness of global solutions.
Received: November 21, 2006
AMS Subject Classification: 35K24, 35J20, 35J25
Key Words and Phrases: beam equation, global solution, nonlinear boundary
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 3
