Variational method study on boundary value problems of fourth order linear and nonlinear differential equations with non-instantaneous pulse perturbation
Variational method study on boundary value problems of fourth order linear and nonlinear differential equations with non-instantaneous pulse perturbation
The existence,boundary value problem and multi solution of the fourth-order differential equation with non-instantaneous impulsive perturbation are investigated by using the variational method theory.The midpoint displacement of the elastic vertical plate under different boundary conditions,stiffness coefficient,mass coefficient,and pulse amplitude,as well as the radiation wave height when x/d=4 show that the stiffness coefficient and pulse amplitude have a positive impact on the vibration response and radiation wave height of the elastic vertical plate,and the attenuation rate on the fixed side is significantly faster than the other two boundary conditions.
关键词
变分法/非瞬间脉冲/微分方程/边值/四阶
Key words
Variational method/Non-instantaneous pulse/Differential equation/Boundary value/Fourth order
维普
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