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In this paper the topological properties of solution set of non-autonomous differential inclusions are discussed,and the fact that the mild solution set of Cauchy is a retract of a convex subset of a Banach space is proved.

讨论了半线性微分包含解的拓扑性质,证明了非自治情况下其适度解集是一Banach空间的凸子集的收缩核,且收缩映射连续依赖于初值。

The main problem studied in this thesis are properties of positive solutions to a semi-linear parabolic system with non-local nonlinear sources and null Dirichlet boundary conditions.

中文摘要:本论文主要研究了具有非局部源的半线性抛物系统并附加Dirichlet零边值的解的性质,得到了系统古典解的渐近性分析:blow-up速率、blow-up集、边界层估计等问题。

The main problem studied in this thesis are properties of positive solutions to a semi-linear parabolic system with non-local nonlinear sources and null Dirichlet boundary conditions. We give the analysis about asymptotic property: blow-up rate, blow-up set and blow-up profiles.

本论文主要研究了具有非局部源的半线性抛物系统并附加Dirichlet零边值的解的性质,得到了系统古典解的渐近性分析:blow-up速率、blow-up集,边界层估计等问题。

The third part is the controllability of semilinear heat equation .

第三部分写的是,半线性热方程的能控性。

This work is concerned with the approximate controllability for some semilinear parabolic systems with control acting only in one equation.

摘要考虑了半线性抛物系统的逼近能控性问题,其中控制是加在系统中的一个方程上。

This paper concerns mainly about the solvability and the properties of the solutions to the semilinear elliptic and parabolic equations or systems.

本论文主要是研究半线性抛物和椭圆方程或方程组的可解性及其解的性质。

This thesis is concerned with the existence of solutions of semilinear evolution impulsive equations as well as the existence of positive solutions of them. And the existence of solutions for terminal problems of impulsive differential equations is also concerned in this thesis.

本文主要研究半线性发展脉冲微分方程解和正解的存在性,以及脉冲微分方程终值问题解的存在性。

Gatti studied the inverse problem of source term for semilinear parabolicequation,which arises from the industrial combustion process.

Gatti对半线性抛物算子的非线性源项进行了研究,仅仅得出了源项反问题解的存在性结果。

The self-pulsation behavior of the phase-conjugated light is studied experimentally in a semilinear self-pumped phase conjugator, which contains two BaTiO3 crystals (one of them operates in total-internal-reflection self-pumped phase conjugator and is used as retro-reflector in this semilinear self-pumped phase conjugator).

在由两块光折变BaTiO3晶体(其中一块晶体为全内反射式自抽运相位共轭镜工作方式,起外反射镜作用)构成的半线性自抽运相位共轭器中观察到了相位共轭光的自脉动现象。

Firstly, we introduce some background knowledge about singular linear systems, give the definition and equivalence conditions of the semiconvergence.

先介绍了奇异矩阵线性方程组的一些背景知识,给出了半收敛的概念及其等价条件。

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