Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.

基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。

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It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.

众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。

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Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.

脉冲双曲型偏微分方程振动性高阶Laplace算子。

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