查询词典 radon nikodym theorem

Firstly in§2.1, by applying the fixed point theorem the existence of positive solutions for second-order three-point boundary value problem is discussed.

第二节，运用不动点定理研究四阶两点边值问题正解的存在性。

A piezoelectric laminated plate finite element, HSPLP4, is constructed based on Reddy third-order shearing deformation theorem.

基于Reddy高阶层合板理论，建立了高阶HSPLP4压电有限单元，该单元的性能比同类单元的性能要好。

In Chapter 2, an existence theorem is obtained for periodic solutions of non-autonomous second order systems with even-typed potentials. We also investigate solutions of linear bounded positive self-conjugation operators equations in Hilbert Space by variation methods.

第二章主要利用临界点理论中的归药方法、极小作用原理研究具偶型位势的二阶非自治系统周期边值问题，得到了周期解的存在；利用变分方法证明了Hilbert空间中有界线性正自共轭算子方程解的存在性。

Chapter 2 discusses the BVP of non self-adjoint nonlinear second order difference equations by applying matrix theory and Krasnoselskii fixed point theorem.

第二章利用矩阵理论与Krasnoselskii不动点定理，研究了一类非自共轭非线性二阶差分方程的边值问题。

A new integral equation method based on Betti theorem is presenied in this paper for analysing arch dams.

本文利用Betti定理提出一种分析拱坝应力的新方法──积分方程法。

On the foundation of Betti s theorem,the constitutive relation of multi-crack rockmass which considers the effect of crack-closure is developed in this paper.

本文从贝蒂定理出发，考虑裂隙在压剪应力作用下的闭合效应，推导出有序多裂隙岩体的本构方程，同时采用数学弹性力学的方法，精确推导出传压系数的理论公式，并对传剪系数加以分析。

The stress intensity factors defined in terms of the integral are derived from the Betti's reciprocal work theorem and expressed in terms of relative quantities on a path and semi-weight function.

由功能互等定理导出用半权函数和积分围道裂纹尖端的参考场所表示的所研究情况的应力强度因子的表达式。

Calculations on the basis of the self-consistent approximation are used to study the effects of slit cracks, elliptical cracks and penny-shaped cracks. The influence of slit cracks on the elastic moduli under all kinds of loading conditions is discussed by Betti's reciprocal theorem and Irwin's relation describing the released energy rate of fracture to the stress intensity factors. The friction between the cracks' surfaces is taken into account for the closed cracks.

采用自恰方法研究了狭长型，椭圆型及硬币型裂纹在荷载作用下对弹性常数的影响；采用Betti的互易定理以及lrwin关于断裂能量释放率与应力强度因子的关系，分析了狭长型裂纹在各种应力状态下对弹性常数的影响；分析研究了裂纹闭合时，由于裂纹面上摩擦力的存在，闭合裂纹时弹性常数的影响。

Generalized reciprocal theorems of non-coupled and coupled system s, which are valid for two deformed bodies with different constitutive relations are established by generalizing the idea of Betti s reciprocal theorem.

推广Betti倒易定理的概念，建立了非耦联系统和耦联系统的广义倒易定理，它们适用于具有不同本构关系的两个变形体·当该两变形体的本构关系相同且为线弹性时，该非耦联系统的广义倒易定理即成为Betti倒易定理·同时，应用该两个广义倒易定理于弹性力学中的模拟计

When the constitutive relations of the two deformed bodies are all alike and linear elastic, the generalized reciprocal theorem of non-coupled system s just becomes Betti s.

推广Betti倒易定理的概念，建立了非耦联系统和耦联系统的广义倒易定理，它们适用于具有不同本构关系的两个变形体·当该两变形体的本构关系相同且为线弹性时，该非耦联系统的广义倒易定理即成为Betti倒易定理·同时，应用该两个广义倒易定理于弹性力学中的模拟计

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48