本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
同时利用带位的奇异积分方程理论得到了这一问题可解的主要条件及指数计算公式。
By the singular integral equation theory we obtain the resolvable sufficient and necessary condition and the formula of counting index for the problem.
一旦因子分解问题可解，攻击者就可以伪造签名。
An attacker could generate a forged signature on the assumption when the factorization problem is solved.
文中同时对病态潮流问题及潮流方程的可解性也作了理论分析。
It also analyzes the abnormal load flow and suggests some methods to solve this problem.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
本算法应用的唯一前提是相应的正问题可解。
The only premise of its application is that the corresponding positive problem should be solvable.
本文研究了具有边界摄动的抛物型方程。利用可解性的讨论，得到了原问题的摄动解。
In this paper, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
目的研究锥扰动集值映射向量优化问题锥有效解的锥次可微性。
Aim to study the cone subdifferential of the cone efficient solution sets for set valued vector optimization problem with perturbed order.
本文研究有源网络的故障诊断问题，着重研究其可解性与可诊断性。
The fault diagnosis problem of active network is studied in this paper with the emphasis upon its solvability and diagnosability.
证明在一定条件下，与地理相关数据的最优显示问题在多项式时间内可解。
It is intended to prove that the of the optimum displaying problems related with geometry data solution can be found in polynomial time, under certain condition.
在一种新的准则概率阈值准则下讨论马尔可夫决策的最优解的算法问题。
The arithmetic problem of Markov optimum solution under a new principle named probability threshold value principle is discussed.
采用线性矩阵不等式和多凸性处理方法，证明了该问题等价于线性矩阵不等式的可解性问题。
In terms of multiconvexity and linear matrix inequality, this problem is proved to be equivalent to an LMI feasible problem.
根据这一原理可解第一、第二和第三边值问题的混合边值问题直接求得位系数。
According to the principle, potential coefficients can be obtained directly in solving the mixed boundary value problems of first, second and third type.
在适当的条件下，得出了这类问题的渐近解及其可解性条件，推广了一类近乎圆膜的振动问题所得的结果。
Under the appropriate conditions, the asymptotic solution and its existence conditions are obtained, the results for a class of quasi-circular membrane oscillation problem is extended.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
为了使问题可解，我们假定每个节点在开启后将一直保持工作状态。
To make both problems tractable, we have the assumption that each sensor node keeps working since it turns on.
论述了不确定性系统下消费决策问题的显式解的可解性并给出了解的具体形式。
This paper discusses the possibility for solving the explicit form of the consumption decision under the uncertain system and gives the framework for the problem.
更加令人惊奇的是，这些问题中的任何一个如果存在一个好算法可解，则这些问题都能找到一个好算法。
Even more surprising is that these problems exist, if any one of the algorithm can be a good solution, these problems can find a good algorithm.
线性分组码的最小距离译码是NP -难问题，但有些情况可解。
The minimum distance decoding of linear codes is NP-hard, but some solvable cases exist.
本文介绍了非线性模拟电路故障分析的方法，并对故障方程的可解性问题进行了讨论。
In this paper a method for the fault analysis of nonlinear analog circuits is introduced and the solvability of the fault equation is also discussed.
对可拓学中解求知问题的已有算法进行分析，提出关于该算法的改进方法，并给出了相关的计算机算法描述。
The existing algorithm to solve the unknown problems is studied and the improved computer algorithm is given.
本文主要研究了一类同时具有时变参数不确定性和外部干扰输入的离散线性系统有限时间状态稳定性问题，用线性矩阵不等式给出问题可解的充分条件。
In this paper finite-time control problem for one kind of linear discrete-time linear system subject to time-varying parametric uncertainties and exogenous disturbances is studied.
实际上，这一问题并不总是可解的。
研究了一类奇异线性系统初值问题可解的充要条件及通解公式，给出了奇异线性系统的化简方法及其简单形式，所得结果统一和推广了正常线性系统的相应结。
The formulas of general solutions and sufficient and necessary conditions of solutions of the initial value problems for a class of singular linear system are studied.
本文用四系数的低阶谱模式研究了一个可移动风应力强迫作用下的海流方程多态解的问题。
Multiple solutions to ocean equations under the influence of moving wind-stress with four Fourier comPonents are studied.
讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性。
The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives.
讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性。
The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives.
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