给出了问题径向正解的非存在性，解的振荡性及有界性的充分条件，并对有界解进行了估计。
The nonexistence theorem of radial positive solution, sufficient conditions of oscillation and boundedness of radial solution and estimation for bounded solution are given in this paper.
文中讨论了一类非双曲内部动态有界解的存在性。
The bounded solutions of non hyperbolic internal dynamics are discussed.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
用孤立不变集和孤立块的概念，给出了含一个参数的二阶常微分方程组的非驻定有界解分支点的存在性准则。
Using concepts of invariable set and isolated cube, we obtained existence for bifurcate points of bounded solutions of second order ordinary differential systems including a parameter.
在适当的假设下得到了该方程无穷多个径向与非径向解的存在性。
Under suitable hypotheses obtain the existence of infinitely many radial solutions and non-radial solutions.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。
The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term, reaction, diffusion and convection.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
通过讨论方程的极限零点和非极限零点，获得了保证其行波解存在惟一性的充分条件。
By deriving limiting zero point of the equation, some sufficient conditions that guarantee the existence and uniqueness of traveling wave solution of this equation are obtained.
应用此不动点定理，在非紧的一般拓扑空间中给出了几个关于拟平衡问题的解的存在性定理。
By applying the fixed point theorem, several new existence theorems of solutions for quasi-equilibrium problems are given under noncompact setting of topological Spaces.
借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
本文第三章讨论的是如下非局部边界条件的反应扩散系统解的存在性和唯一性。
In the chapter there of this paper, we consider the uniqueness and the existence of solutions of the following reaction diffusion system with nonlocal boundary conditions.
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。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
这个结果导致捕食食饵系统的持久性、平凡解和所有半平凡解的不稳定性和不存在非一致平衡解。
The result leads to the permanence of the prey-predator systems, the instability of the trivial and all forms of semitrivial solutions, and the nonexistence of nonuniform steady-state solutions.
研究一类强耦合拟线性退化抛物方程组初边值问题正古典解的局部存在、全局存在与非全局存在性。
Local existence, global existence and nonexistence of classical solutions for a degenerate and strongly coupled quasilinear parabolic system were studied.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
利用分支理论分析了非平凡周期解的存在性。
Further, the existence of a nontrivial periodic solution is considered by using bifurcation theory.
讨论了伪抛物方程的一类非线性非局部边值问题，得到了当区域固定时解的存在唯一性，并就当区域变化时解的极限性态进行了探。
The existence and uniqueness of solution are proved when the domain is fixed, and the limit behaviour of solutions is obtained as the domain is changed.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
用纯分析的方法给出了一类单部件可修系统动态非负解的存在唯一性和单调稳定性证明。
By using pure analysis method, are proved the monotone stability, existence and uniqeness of a dynamic state nonnegative solution of a repairable syatem with some singleness components.
用纯分析的方法给出了一类单部件可修系统动态非负解的存在唯一性和单调稳定性证明。
By using a direct analysis technique, the existence of nonnegative solutions was established for singular semi-positone problems with p-Laplacian.
通过初等方法，证明了此冗余系统非负解的存在唯一性。
A new algorithm that finds nonegative solution of system of linear equations is described and proved.
应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
运用纯分析的方法给出了具有共因故障的四部件冗余可修系统动态非负解的存在唯一性证明。
This paper, using pure analysis method has, proved the qualitative analysis of a dynamic state nonnegative solution of a 4 unit redundant repairable system with common cause failures.
本文讨论了在一维情况下一类非牛顿流初边值问题整体解的存在唯一性。
In this paper, we prove the existence and uniqueness of global weak solution of non Newton Filtration equation with a kind of nonlinear boundary condition.
通过初等方法，证明了此冗余系统非负解的存在唯一性。
The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model;
通过初等方法，证明了此冗余系统非负解的存在唯一性。
The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model;
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