本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
本文采用非线性分析方法，研究生物种群动力学中一类拟线性抛物系统，得到解的整体存在性。
In this paper, using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtained the existence of the global solution.
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.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
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.
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.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
在一定条件下，证明一类拟线性伪双曲方程的第一初边值问题古典解的存在性。
The present paper provides a class of quasilinear pseudohyperbolic equation of the existence of classical solutions of the first boundary value problem under some suitable structure conditions.
主要分析一维拟线性波方程的解的间断性。
The characteristic method is applied and the weak discontinuous solutions of homogeneous quasilinear wave equations are discussed.
本文主要讨论几类非线性方程的(拟)概周期解和(渐近)概自守解的存在性。
In this thesis, we discuss mainly the existence of (pseudo) almost periodic solutions and (asymptotically) almost automorphic solutions for some nonlinear equations.
讨论一类退缩拟线性抛物方程组解的局部存在性与猝灭，证明了在一定条件下解在有限时刻发生猝灭，并给出猝灭时间的一个上限估计。
A class degenerate quasilinear parabolic systems is considered. The local existence is proved. In some conditions the solution quench in a finite time. And an estimate of quenching time is given.
通过积分的方法得到了一类带有边值条件的拟线性微分方程爆破解的存在性。
By the quadrature method, an explosive solution for a class of quasilinear ordinary differential equations with boundary conditions are obtained.
给出了一类拟线性迭代方程连续解的存在性，唯一性和稳定性。
The existence, uniqueness and stability of continuous solutions for a quasi-linear iterative equation are given.
给出了一类拟线性迭代方程连续解的存在性，唯一性和稳定性。
The existence, uniqueness and stability of continuous solutions for a quasi-linear iterative equation are given.
应用推荐