differential inequality 中文意思是什麼

differential inequality 解釋
微分不等式
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • inequality : n. 1. 不平等，不平均，不平衡，不等量。2. 不相同，互異。3. 變動，變化，高低，起伏。4. 【數學】不等式；【天文學】均差。5. （平面等的）不平坦。6. 不勝任。
  1. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  2. According to the theory of differential inequality and the comparision theorem, we will establish some new and more practical criteria of the extinction, uniform persistence and globally asymptotical stability for partial species of the above system. since the narrate of the main theorem is long, we omit it. to see section 2 of chapter 3 for details

    通過利用微分不等式理論，比較定理及構造適當的lyapunov函數，得到了判別種群持續生存、滅絕和全局漸近穩定性的三個定理，這便是第三章的主要內容，由於定理較長，這里不作敘述，詳見第三章第二節。
  3. This paper studies the corner layer behavior in quasi linear systems with turning points. under the appropriate conditions and by usin g the theory of differential inequality, the existence of the solution and its c omponentwise uniformly valid asymptotic estimation are obtained when the reduced solution does not have a continuous first - derivative in some point of ( 0, 1 )

    奇攝動轉向點問題是來自量子力學及其他物理力學中的重要問題，特別對非線性系統的轉向點問題，已有的結果甚少，文章研究一類具有轉向點的擬線性系統的角層現象，在適當的假設條件下，利用微分不等式方法證明了當其退化解在（ 0 ， 1 ）內某些點上一階導數不連續時解的存在性，並得到了解的按分量的一致有效的漸近估計。
  4. In the study of the qualitative theory of differential equations, especially in the study of the stability of differential equations, the estimate of solutions and the boundedness of solutions, gronwall - bellman - bihari inequality can be used as handy tools

    在探討微分方程定性理論中，尤其在探討微分方程（組）的穩定性、解的估計及有界性的過程中， gronwall - bellman - bihari不等式是一強有力的工具。
  5. This paper discusses the positive periodic solution and the almost periodic solution to dimensional predator - prey model with prey supplements by using the differential inequality, and its stability under disturbances in the shell

    摘要對于食餌有補充具有功能反應類的非定常的捕食食餌模型，利用微分不等式討論了周期解的存在性及其全局吸引性、概周期解的存在性及其在殼擾動下的穩定性。
  6. The origin of variational inequality can be traced back to the study concerning partial differential equation by stampacchia and hartman in the i960 " s. however, variational inequality was developed as a means of studying partial differential equation

    變分不等式的起源可以追溯到二十世紀六十年代stampacchia與hartman關于偏微分方程的研究，而變分不等式是作為研究偏微分方程的一種工具出現的。
  7. In this paper, these two methods are employed to consider three kinds of singular perturbation boundary value problems. in the first section, the existence of solution for a class of non - linear systems with three - point boundary problem is obtained by applying the differential inequality theory. in the second section, we use the differential inequality theory to discuss the non - monotone interior layer solution for one kind of singularly perturbed quasilinear boundary value problems with a turning point. in the third section, the diagonalization method is applied to study the existence of solution for a class of vector differential systems with two - point or three - point boundary problems. meanwhile, the asymptotic estimate of the solution as well as its first - order derivative and its second - order derivative is obtained

    在第一部分中，我們應用微分不等式理論證明了一類非線性系統三點邊值問題解的存在性；在第二部分中，運用微分不等式理論研究了一類帶有轉向點的擬線性奇攝動邊值問題的非單調內層解；在第三部分中，利用對角化方法研究了一類向量二點或者三點邊值問題解的存在性，並獲得解及它的一、二階導數的漸近估計。
  8. The variational inequality has close relations with the theory of extreme value theory and partial differential equation, therefore, it has been extended to infinite dimensional space during the progress of relevant studies

    他們研究的變分不等式具有如下形式：這種變分不等式與極值理論和偏微分方程都有密切聯系。因此人們在研究中已經把它推廣到了無限維空間。
  9. The model of dwell function synthesis of planar six - bar mechanism in the dissertation is decomposed into two relatively independent sub - questions. the first one is to evaluate the characteristic of points on moving rigid body, whose mathematics model is a kind of special non - differential max - mini optimal problem with inequality constraints

    對于誤差評定，本文利用加權理論，對要求綜合的平面六桿機構提出了在保證間歇部分精度要求的條件下，使非間歇部分誤差盡可能小的評價思想。
  10. The paper studies the existence and global exponential convergence of alomost periodic solutions for high - order neural networks involving variable delay by applying the theory of fixed point and differential inequality technique, some new criteria on the existence and global exponential convergence of almost periodic solutions are obtained

    摘要利用不動點理論和微分不等式分析等技巧，研究了變時滯高階神經網路概周期解存在性與全局指數收斂性，並且給出了一些新的判別準則。
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