Positive solutions of nonlinear elastic beam equations with a fixed end and a movable end

The existence of n positive solutions is studied for a class of fourth-order elastic beam equations where one end is fixed and other end is movable. Here, n is an arbitrary natural number. Our results show that the class of equations may have n positive solutions provided the "heights" of the nonlinear term are appropriate on some bounded sets.

作 者： YAO Qing-liu   作者單位： Dept. of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China  刊 名： 哈爾濱工業大學學報（英文版）  EI 英文刊名： JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY  年，卷(期)： 2006 13(5)  分類號： O175.8  關鍵詞： nonlinear elastic beam equation   boundary value problem   positive solution   existence   multiplicity  

【Positive solutions of nonlinear elas】相關文章：

A Direct Algebraic Method in Finding Particular Solutions to Some Nonlinear Evolution Equations04-27

Lienard Equation and Exact Solutions for Some Soliton-Producing Nonlinear Equations04-28

MULTIPLE POSITIVE SOLUTIONS OF SINGULAR THIRD-ORDER PERIODIC BOUNDARY VALUE PROBLEM04-28

S-polar sets of super-Brownian motions and solutions of nonlinear differential equations04-28

New Rational Form Solutions to mKdV Equation04-28

Symmetries and Similarity Reductions of Nonlinear Diffusion Equation04-29

Extension of Floquets theory to nonlinear quasiperiodic differential equations04-28

Nonlinear Einstein-Podolsky-Rosen Entangled States04-29

Solitary Wave and Periodic Wave Solutions for the Relativistic Toda Lattices04-28

NONLINEAR THEORY OF DYNAMIC STABILITY FOR LAMINATED COMPOSITE CYLINDRICAL SHELLS04-28