具有分布偏差变元的双曲方程的强迫振动性

Forced Oscillation of Hyperbolic Equation with Distributed Deviating Argument

使用平均值技巧 ,把多维问题变为一维的微分方程或微分不等式的振动问题 ,研究具有分布偏差变元的双曲微分方程解的强迫振动性 .利用 Robin特征值问题研究 Robin边值问题的振动性 ,得到了所给方程在

An averaging technique is used to study the forced oscillation of nonlinear hyperbolic equations with a distributed deviating argument. The multidimensional problem is reduced to a one dimensional oscillation problem of ordinary differential equations or inequalities. This paper uses the Robin eigenvalue problem to study the oscillation of Robin Boundary value problems, where is different from the other papers. Forced oscillatory criteria for the Robin boundary value problem of nonlinear hyperbolic equations with a distributed deviating argument were obtained.