半线性的

By using homeomorphism method and the extended inverse function theorem,the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

首先在Hilbert空间中建立了强制不等式，利用同胚方法和抽象的反函数定理，得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。

To solve this problem, upper and lower method and comparison lemma are introduced.

这里涉及到两个非常重要的引理，上下解原理和半线性椭圆型方程的比较原理。

In particular the semi-linear transformation of a single, the study of the Lie algebra structure, and the existence of classification play an important role.

特别是半单的线性变换，对研究李代数的结构、存在与分类，起到重要作用。

The chapter two, by using reduction to absurdity and estimating the differential inequality, we investigate the oscillation of a kind of even order half- linear differential equation, and we give an example to validate the theorem.

在第二章中，我们利用反证法及对微分不等式的估计研究了一种偶数阶半线性微分方程解的振动性，接着举了例子验证所得定理。

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

In this paper,we are devoted to the insensitizing controls for a semilinear heat equation.

本文系统的介绍了半线性热方程的不灵敏控制问题。

In chapter 2, the difference scheme of two-dimensional semi-linear model is discussed.

在第二章中，进一步研究二维半线性伪抛物型方程的差分格式。

As an application of the asymptotic theory, a special wave equation is analyzed in detail.

在三维空间中，建立了一类半线性波方程在非球面对称形式下整体解的渐近理论，并给出了应用。

Finally,usingHodge decomposition theorem,domain variations theory and capacitytheory,we prove that the continuity of very weak solutions of a classof nonlinear elliptic equations on varying domains.

最后，使用Hodge分解、区域拓朴和容量理论，我们证明了一类非齐次半线性椭圆型方程很弱解关于区域的连续依赖性。

We prove the existence of integral solutions for semilinear integrodifferential equations with nonlocal conditions in Banach spaces.

运用预解算子理论和Schauder不动点定理，在Banach空间证明了一类非局部半线性积微分方程积分解的存在性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新