非线性悬臂梁方程变号解的单调迭代技术

journal6 ›› 2011, Vol. 32 ›› Issue (5): 16-21.

非线性悬臂梁方程变号解的单调迭代技术

(南京财经大学应用数学系,江苏南京 210003)

出版日期:2011-09-25 发布日期:2012-04-06

Monotonically Iterative Technique of Changing-Sign Solution to Nonlinear Cantilever Beam Equations

(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China)

Online:2011-09-25 Published:2012-04-06
About author:YAO Qing-liu (1946-),male,was born in Shanghai City,professor,research area is applied differential equations.
Supported by:
National Natural Science Foundation of China (11071109)

摘要/Abstract

摘要：基于单调迭代技术,获得了一类悬臂梁方程的非平凡解.在这类方程中,非线性项包含了未知函数的所有低阶导数并且边界条件是非奇次的.

关键词： 单调迭代技术, 非线性梁方程, 非平凡解, 存在定理

Abstract: Based on the monotonically iterative technique,the nontrivial solutions are obtained for a class of cantilever beam equations.In the class of equations,the nonlinear term contains all lower derivatives of unknown function and the boundary conditions is nonhomogeneous.

Key words: monotonically iterative technique, nonlinear beam equation, nontrivial solution, existence theorem

姚庆六. 非线性悬臂梁方程变号解的单调迭代技术[J]. journal6, 2011, 32(5): 16-21.

YAO Qing-Liu. Monotonically Iterative Technique of Changing-Sign Solution to Nonlinear Cantilever Beam Equations[J]. journal6, 2011, 32(5): 16-21.