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.
Variational methodNon-instantaneous pulseDifferential equationBoundary valueFourth order
万方数据
维普
