We study the solvability of multiple cases of the problem by providing efficient algorithms.
本文考虑了多种情况，分别给出了相应的算法。
A unique solvability of the source term solution is obtained by applying integral identity methods.
应用积分恒等式方法，证明了源项解的唯一存在性。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
In this paper the existence of solvability for the following generalized boundary value problems is discussed.
本文主要讨论以下广义边值问题正规解的存在性问题。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
The theoretic analysis shows that the approach ensures the solvability in the received nodes and achieves retransmission.
理论分析结果表明：策略中的编码信息包在所有接收节点具有可解性，可以达到重传目的。
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 fault diagnosis problem of active network is studied in this paper with the emphasis upon its solvability and diagnosability.
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。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
The inverse least square problem with spectral constraints is also studied and a sufficient condition is given for its solvability.
讨论了四元数量子力学中带有谱约束的最小二乘解反问题，得到了此问题有解的充分条件。
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
First, the general notion of solvability and generalized state solutions for linear discrete coefficient_vary singular systems are analyzed.
首先分析总结了线性离散变系数奇异系统可解性及其广义状态解的一般概念。
For the output regulation problem of slowly-varying linear systems via full information feedback, a sufficient condition of solvability is given.
对于经由全信息反馈的慢变线性系统的输出调节问题，我们给出了解决问题的一个充分条件。
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.
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, the parabolic equation with boundary perturbation is considered. Using discussion of the solvability, the perturbed solution of original problem is obtained.
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。
Meanwhile, the solutions to the problem and solvability conditions are obtained, and we extend the solution space from analytic function space into the meromorphic function space.
同时，给出了其解的表达式和可解条件，并将原来求解空间从解析函数空间推广到亚纯函数空间。
The association interaction parameter of PPB-MAH can be used to express the molecule polarity quantitatively, and the ellipse equation can be used to estimate the solvability of solvents.
MAH的缔合力参数可以用来量化表示其分子极性，椭圆方程可以用作溶剂的可溶性的预测。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
By this iterative method, the solvability of the equations can be determined automatically, and its reflexive matrix solution or least-norm reflexive matrix solution can be got within finite steps.
该算法可以判断矩阵方程组是否有自反矩阵解，并在有自反矩阵解时，可以在有限步迭代计算之后得到矩阵方程组的一个自反矩阵解或者极小范数自反矩阵解。
The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra.
给出了马尔策夫代数的一个标准扩张，并研究了马尔策夫代数及其扩张间的可解和幂零关系。
Solvability of a second order multi-point boundary value problem with generalized Sturm-Liouville boundary condition;
得到了一类离散多点边值问题的正解的存在性定理。
Solvability of a second order multi-point boundary value problem with generalized Sturm-Liouville boundary condition;
得到了一类离散多点边值问题的正解的存在性定理。
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