双曲型微分方程 hyperbolic differential equation
- 建立了一类时滞双曲型微分方程解的振动充要条件,揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。
Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equations are obtained.It shows that the oscillation of delay hyperbolic differential equations is equivalent to that of the corresponding functional differential equations. - 讨论了具有非线性边界条件的脉冲双曲型泛函微分方程解的振动性质,给出了解振动的充分条件.
This paper studies the oscillation behavior of the solutions of impulsive hyperbolic functional differential equation with nonlinear boundary condition,and establishes sufficient conditions for oscillation of the solutions. - 文摘:考虑一类中立型时滞双曲微分方程,得到了该方程振动的一个充分条件.
Abstract: The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.