半线性的

In this paper we study the existence and multiplicity of solutions for the semilinear elliptic Dirichlet problem at the first eigenvalue.

本篇文章主要研究了在一阶共振的半线性椭圆Dirichlet问题解的存在性和多解性，得到了几个解的存在性定理和一个多解性定理。

In this paper, a semilinear elliptic equation with critical Sobolev-Hardy exponents is studied, the existence of nontrival solutions for which is proved by the linking theorem in variational calculus.

该文研究了一类带有Sobolev-Hardy临界指数的半线性椭圆方程，运用变分理论中的环绕定理证明了方程非平凡解的存在性。

It is shown that the insensitivity conditions are equivalent to the null controllability problem of a cascade system.

不灵敏控制问题是能控性的一个分支，半线性热方程的不灵敏控制问题即可转化为一个串联系统的能控性问题。

We cosider a class of semilinear elliptic systems with the Neumann boundary value condition by using variational methods, two existences theorem are proved for under critical exponents and critical exponents.

利用变分法讨论了一类带Neumann边界条件的半线性椭圆方程正解的存在性，并得到了在下临界指标时的两个存在性定理。

Finally we consider the half-linear neutral delay dynamic equation A comparison result for the oscillation between the equation and a first order delay dynamical inequality is established.

在本章最后，考虑半线性中立型时滞动力方程建立了方程的振动性与一个一阶时滞动力不等式振动性的比较结果，在此基础上，给出了方程所有解振动的几个充分条件。

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

针对摆型振动模型中的数学问题，分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。

The third part of this paper aims to study the global solvability or nonsolvability of a semilinear parabolic equation with singular potential.

论文的第三部分是对带奇异项的半线性抛物方程的整体可解性和不可解性的研究。

The second part of this paper is to consider the Fujita critical exponent of the semilinear parabolic equation with Neumann boundary value on unbounded daomain.

第二部分是对无界区域上带Neumann边值的半线性抛物方程的Fujita临界指数的研究。

The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. The asymptotic behavior of solutions is given.

利用上、下解方法及相应的单调迭代序列研究具有时滞的耦合半线性抛物方程组的动力学行为，给出了解的渐近性质。

By constructing suitable cone and applying the decomposition technique of equation,the positive solutions are investigated for a class of semilinear fourth-order boundary value problem s with first derivative.

通过构造适当的锥并且利用方程的分解技巧研究了一类含一阶导数的半线性四阶边值问题的正解。

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