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By using the cone theory, t he existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition.

利用锥理论,在不需要非线性项满足连续性和紧性条件下,获得无穷区间上Fredholm型积分方程解的存在唯一性,并给出逼近解迭序列的误差估计。

In 1987,applying the connection of continuity method and aprior es-timate technique,Wang Guanglie,[11],got the existence and uniqueness of theclassical solution of (1)(2) under some compatibility conditions.

对于此方程的第一初边值问题(1)(2),1987年,王光烈在文[11]中用连续性方法和先验估计技巧,在一定条件下得到了古典解的存在惟一性。

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充,我们讨论了规范固定Yang-Mills方程,并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

In section 2, the integral expression, continuity and twice continuous differentiability and integro-differential equation satisfied by the expected discounted penalty at ruin Ф〓 are derived.

在第二节,我们得到了Ф〓的积分表达,连续性及二次连续可微性和积分-微分方程。

Analysis of moduli data with the theories of Budiansky and Kerner disclosed dual phase continuity of polymer Ⅱ was decreased with increase of SBS content.

通过Budiansky方程和Kerner方程对动态模量数据的分析表明,IPN样品具有两相连续性,且随SBS组分含量的增加,聚的连续程度降低

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理,所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

Under the conclusion of this, we prove the exponential asymptotical stability of the solution.

本文主要研究了一类无穷区间正倒向随机微分方程,利用连续性方法证明了此类方程在M~(2,k)(0,∞;R~n)空间中解的存在唯一性,并指出了k的范围,通过所得到的结论,进一步证明了FBSDE解的指数渐进稳定性。

By using the cone theory and the coupling upper and lower solution method, it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法,研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性,并给出了迭代序列收敛於解的误差估计,所得结果改进和推广了混合单调算子方程的某些已知相应结果。

By using the cone theory and the coupling upper and lower solution method,it is studied the existence uniqueness of solutions of nonlinear binary operator equations without monotone and continuity and compactness conditionsin Banach spaces.

利用锥和耦合上下解方法,研究Banach空间不具有单调性、连续性和紧性条件的非线性二元算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果改进和推广了混合单调算子方程的某些已知相应结果。

To make the transition curve in the process of gear modeling be more reasonable, the parameterized 3D model of involute cylindrical spur gears with whole profile was made with Pro/Engineer software, based on the study of equations of the dual-arc rack cutter' s profile curves and the cut gear' s tooth profile curves.

为了使齿轮建模时过渡曲线部分更符合工程实际,在对双圆弧齿条型刀具轮廓曲线方程和齿轮的廊线方程研究的基础上,利用Pro/Engineer软件建立了可变位的渐开线完整齿廊直齿圆柱齿轮的三维参数化模型,并对齿廊曲线连续性进行了分析。

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