By some abstract results of operator equation, the fourth order singular boundary value problem was discussed.
利用算子方程的一些抽象结果来讨论四阶奇异边值问题。
In this paper, the initial-boundary value problem of a kind of nonlinear fourth-order wave equations with damping and source terms is studied on the base of Beam equation.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
The initial boundary value problem of fourth order wave equation with dispersive and dissipative terms is studied.
研究具色散和耗散项的四阶波动方程的初边值问题。
The prize was awarded in 1815 to Sophie Germain, a celebrated woman mathematician, who derived the correct fourth-order differential equation.
该奖项在1815年颁发给个索菲。热尔曼，一位著名的女数学家，她推导出了正确的四阶差分方程。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.
研究了一个四阶有理差分方程，证明了该方程的正平衡点是全局渐近稳定的。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By means of the variational approach, in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
在比（AR）条件更弱的一类超线性条件之下，利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
考察了一类非线性四阶弹性梁方程的解和正解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
考察了含有各阶导数的一个4阶非线性弹性梁方程的解和正解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
考察了含有各阶导数的一个4阶非线性弹性梁方程的解和正解的存在性。
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