initial-value theorem 中文意思是什麼
initial-value theorem
解釋
初值定理-
The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved
第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。 -
Creep analysis methods of high - rise buildings and large span buildings can only refer to creep coefficient method in bridge engineering or the method of degree of creep in hydraulic construction engineering under the present experiment conditions. in this paper, the incremental expressions of concrete creep and shrinkage strain when the initial computational age is not the same as the loading age are derived and corrected from the concept of concrete creep coefficient and the mean value theorem of integral and the principle of superposition. the differences of efficiency and accuracy of creep analysis between the finite element method with creep coefficient and the initial stress method with degree of creep are presented. this paper suggests that engineers should use the initial stress method with degree of creep to estimate the influences of creep on high - rise buildings and large span buildings on the basis of conceptual design
基於現有的試驗資料，高層及大跨度民用建築的徐變分析只能參照橋梁結構中的徐變系數方法或水工結構中的徐變度方法進行.從徐變系數的定義出發，利用積分中值定理和疊加原理，推導並修正了加載齡期與起算齡期不同時徐變收縮應變增量的表達式，對比了應用徐變系數分析徐變的有限元法和應用徐變度分析徐變的初應變法在效率和精度上的差別，並建議應從概念設計的角度出發，採用徐變度的初應變法來估算徐變對高層及大跨度民用建築的影響 -
Abstract : creep analysis methods of high - rise buildings and large span buildings can only refer to creep coefficient method in bridge engineering or the method of degree of creep in hydraulic construction engineering under the present experiment conditions. in this paper, the incremental expressions of concrete creep and shrinkage strain when the initial computational age is not the same as the loading age are derived and corrected from the concept of concrete creep coefficient and the mean value theorem of integral and the principle of superposition. the differences of efficiency and accuracy of creep analysis between the finite element method with creep coefficient and the initial stress method with degree of creep are presented. this paper suggests that engineers should use the initial stress method with degree of creep to estimate the influences of creep on high - rise buildings and large span buildings on the basis of conceptual design
文摘:基於現有的試驗資料，高層及大跨度民用建築的徐變分析只能參照橋梁結構中的徐變系數方法或水工結構中的徐變度方法進行.從徐變系數的定義出發，利用積分中值定理和疊加原理，推導並修正了加載齡期與起算齡期不同時徐變收縮應變增量的表達式，對比了應用徐變系數分析徐變的有限元法和應用徐變度分析徐變的初應變法在效率和精度上的差別，並建議應從概念設計的角度出發，採用徐變度的初應變法來估算徐變對高層及大跨度民用建築的影響 -
In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied
首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。 -
In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence, uniqueness and iterative approximation theorem of solutions of initial value problems for second order mixed monotone type of impulsive differential equations
利用混合單調凝聚運算元的耦合不動點定理，給出了二階混合單調型脈沖微分方程的初值問題的解的存在唯一性及迭代逼近定理 -
The existence of global solutions on interval [ 0, a ] ( a > 0 ) for the first order initial value problem of discontinuous equations in banach space ( 1 ) is discussed. the fixed - point theorem of t - monotone increasing operators and the partial - ordered method are applied to these problems. an existence result is obtained. the results extend the relevant conclusions in reference [ 7 ]
利用t -單調增運算元不動點定理和半序方法，得到了banach空間中含有間斷項常微分方程初值問題（ 1 ）在[ 0 ， a ] （ a 0 ）上整體解的一個存在性結果，改進了文[ 7 ]中的相應結果。
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