The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
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。
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 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 chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
在第一章中，我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
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 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。
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