本文证明了一类反应扩散方程组初边值问题整体有界广义解的存在性和唯一性。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
在第四章中，我们考虑了一类更一般形式的广义非线性变分包含并证明了它在H -空间中解的存在性。
In chapter four, we consider a more general form of generalized nonlinear variational inclusions and prove the existence of solutions for these variational inclusions in H-space.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
在适当的条件下，证明了该完全广义强非线性拟变分包含解的存在性及唯一性，并且得到了迭代算法的收敛性和几乎稳定性。
Under suitable conditions, the existence and uniqueness of solutions of the that inclusion and the convergence and almost stability of the sequence generated by the iterative al.
并在广义凸性和广义单调性的条件下，给出了隐向量均衡问题的解的存在性。
In addition, under the generalized convexity and generalized monotonicity, solution existence for implicit vector equilibrium problems is investigated.
在适当的条件下，研究了问题广义解的存在、唯一性及其渐近性态。
Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
研究一类强退化拟线性抛物方程的重整化解，在一定假设条件下得到了这类广义解的存在惟一性。
The existence and uniqueness of renormalized solutions of a class of strongly degenerate quasilinear parabolic equations under certain assumptions are discussed.
首次对广义离散系统的周期解的存在性进行研究，给出了广义离散系统周期解存在的判据。
The existence of periodic solution of singular discrete system is firstly stud - ied and theorem which periodic solutions of singular discrete system exist is given.
第三部分，利用辅助原理研究了广义集值非线性混合似变分不等式的解的存在性，收敛性及算法的稳定性。
In the last section, we introduce and study a class of variational-like inequalities by applying the auxiliary principle technique.
本文研究了一类高维广义神经传播方程初值问题的广义解整体存在性和唯一性。
In this paper, the global existence and uniqueness of mild solution for the cauchy problem of a class of generalized equations of pulse transmission type with higher dimension are studied.
本文引入和讨论一类新的广义bbm方程，得到了关于这类广义bbm方程周期行波解的一些存在性定理。
Some existence theorems of periodic traveling wave solutions for this kind of generalized BBM equation are given.
另外，我们还证明在一维有界区间上广义pm方程强解的存在唯一性。
Additionally, we prove the existence and uniqueness of strong solutions for Generalized YK Equation on 1-d bounded intervals.
作者对一类广义强迫lienard方程进行了研究，给出了其概周期解存在性的一个新的充分条件。
A generalized forced lienard equation is studied and a new sufficient condition for the existence of almost periodic solutions for this equation is given.
作者对一类广义强迫lienard方程进行了研究，给出了其概周期解存在性的一个新的充分条件。
A generalized forced lienard equation is studied and a new sufficient condition for the existence of almost periodic solutions for this equation is given.
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