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SOLVABILITY OF SINGULAR CANTILEVER BEAM EQUATION 被引量:4

SOLVABILITY OF SINGULAR CANTILEVER BEAM EQUATION
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摘要 Two local existence theorems are established for a class of fourth-order two-point boundary value problems with all order derivatives and singularity.Main ingredients are Green function and integral equation.In mechanics,such class of problems is called cantilever beam equation which describes the deflection of an elastic beam fixed at left and freed at right. Two local existence theorems are established for a class of fourth-order two-point boundary value problems with all order derivatives and singularity.Main ingredients are Green function and integral equation.In mechanics,such class of problems is called cantilever beam equation which describes the deflection of an elastic beam fixed at left and freed at right.
出处 《Annals of Differential Equations》 2008年第1期93-99,共7页 微分方程年刊(英文版)
关键词 nonlinear ordinary differential equation boundary value problem EXISTENCE fixed point theorem nonlinear ordinary differential equation boundary value problem existence fixed point theorem
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