solution of inequality 中文意思是什麼

solution of inequality 解釋
不等式解
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  • of : OF ＝Old French 古法語。
  • 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. Considering enough the property of the equa - tion, we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality

    我們充分考慮方程的特點，將高階非線性項化為一非負定二次型使得解在h ~ 1中的吸收集的存在性得以證明。通過能量估計的巧妙組合以及多種形式的不等式進行精細的估計以獲得h 「的吸收集的存在性
  3. Then the application of cauchy - inequality is illustrated by proving a proposition or an inequation, solving a triangle, and finding a solution to an equation or the maximum value & minimum value of a function

    然後給出了柯西不等式在命題證明、不等式證明、求解三角形問題、函數最值、解方程等方面的應用。
  4. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  5. In the fields of fluid dynamics, entropy inequality reflects the second law of thermodynamics. i. e. entropy must increase across shock waves ( a kind of discontinuity ). all kind of approximate schemes should reflect the fact that it must satisfies some kind of discrete entropy inequality ). from the view of practical computation, stability and theo - retical error of any kind discrete schemes all dependend of the smoothness of the solution of ( 0. 2. 1 ). generally, the approximate solution have good stability and theoretial error in the area where the solutions have more regularity and poor stability and theoretial error in other area

    從流體力學來看，它事實上是熱力學第二定理的反映，即熵越過激波（一種間斷）要增加。各種估計格式構造的估計解應反映這一事實，即滿足熵不等式。從實際計算來看，總是通過離散化求解，不考慮計算的積累誤差，它的穩定性與計算精度都依賴與真解的光滑性，一般說，在解較光滑的區域有較好的穩定性與計算精度，而在較粗糙的區域則相反。
  6. In the 3rd section we introduce how to use mathematical model to study financial problems, whose assets running on mixed jump - diffusion process, first we get the famous non - linear feynman - kac formula by fbsde, then let the solution of the bsde be a investor ' s utility function, and it ' s the so - called recurse utility function. second, we can prove that this utility function is a continue viscosity solution of the variation inequality which we get above, and we get the comparison theory. third we can use the result to financial market to study the optimal consumption and portfolio problem or evaluate the american option

    第三章介紹了利用金融資產價格運行基於復合跳躍? ?擴散過程的數理模型來研究金融經濟問題，通過結合運用正倒向隨機微分方程，推導得到著名的非線性feynman - - kac公式，並且將相應的倒向隨機微分方程的解記為投資者的值函數，這也就是通常所說的效用值函數；接著我們可以證明此效用值函數為某一偏微積分變差不等式的連續粘性解，並且得到了比較原則；這些結果可以應用到金融領域用於消費投資組合的選擇或是美式期權的估值。
  7. Due to the poor regularity of solutions at large time. ( 0. 2. 1 ) can not defined in classical way. i, e., the defi nition of the derivatives at any points has no sense. so it may be rather difficult in the research of classical way and must be defined in weak sense. in order to guarantee the uniqueness of weak solutions, a condition ( entropy inequality ) must be need to pick out " good " solution ( entropy solutions )

    由於大時間范圍內守恆律（ 0 . 1 . 1 ）的解表現為很差的正則性，它不能在古典意義下定義，即在每一點下的導數無意義，使得古典辦法研究遇到很大困難，它只能在弱意義下定義弱解，但往往這種弱解不唯一，需要某條件限制確保解的唯一性，在數學上稱為熵條件，滿足該條件的弱解稱為熵解。
  8. 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。
  9. In particular the energy decay of the solution is obtained by the use of komornik ' s integral inequality

    特別地，我們利用komornik積分不等式得到弱解的能量衰減估計，其中a _ 1 ， a _ 2和n為一些hilbert空間上的有界線性運算元
  10. It is difficult to analytically solve the inequality constrained nlps in the dual space, due to the linear lagrangian. a perturbed ( regularized ) lagrangjan approach is proposed, which provides an analytic solution of the dual variables in terms of primal variables

    然後針對帶不等式約束的非線性規劃問題，給出一個lagrange正則化（攝動）方法，該方法有效地克服了線性lagrange函數難于在對偶變量空間直接求解的困難。
  11. At first, the robust h control for uncertain nonlinear systems with norm bounded uncertainties is studied, based on a positive definite solution of hamilton - jacobi - issacs inequality ( hji ), a sufficient condition is given such that the closed loop system is asymptotically stable and its l2 - gain is less than or equal to a prescribed value. using this condition state feedback control law and an output feedback control law which ensured robust hx performance of the closed - loop system are derived. due to the difficulty to solve hji, a method is proposed which do not require solving it by using an appropriate lyapunov function

    首先，研究了范數有界型不確定非線性系統魯棒h _控制問題，基於hamilton - jacobi - issacs不等式（ hji ） ，給出了閉環系統漸近穩定且l _ 2 -增益有限的狀態反饋和輸出反饋設計演算法。考慮求解hji的困難性，針對不確定非線性系統，通過適當地選擇lyapunov函數，提出了求解非線性系統魯棒h _控制問題的演算法，可以避免求解hji 。
  12. In [ 4 ], weinstein skillfully got the best constant in gagliardo - niremberg inequality using the variational approach and therefore obtained the sufficient condition of the global existence of the solution in critical case p = 1 + 4 / n

    [ 4 ]巧妙運用變分法獲得gagliardo - nirenberg不等式的最佳常數從而給出了在p = 1 + 4 / n臨界狀態下解整體存在的充分條件。
  13. 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。
  14. The existence conditions of unique solutions are discussed by using - reslovent operators for set - valued mixed quasi - variational - like inequality and generalized set - valued variational inclusion problems on finite dimensional euclidean spaces ; respectively. the problem that under what conditions the solution set is nonempty ( not necessarily unique solution ) is

    ?利用-預解運算元在有限維空間中探討了集值混合擬類變分不等式問題和廣義集值變分包含問題存在唯一解的條件；利用分析的方法在實hilbert空間中討論了集值混合擬類變分不等式問題解集的非空性（不一定只有唯一解） 。
  15. Motivated by the practical requirements of robot path planning, a generalized constrained optimization problem gcop with not only logic and but also logic or relationships was proposed and a mathematical solution developed previously. this paper inherits the fundamental ideas of inequality and optimization techniques from the previous work, converts the obstacle avoidance problem into a semi - infinite constrained optimization problem with the help of the mathematical transformation, and proposes a direct path planning approach without cspace calculation, which is quite different from traditional methods. to show its merits, simulation results in 3d space have been presented

    他們在早期的系列研究中： 1提出了更一般的非線性優化問題generalized constrained optimization problem ，簡稱gcop ，即約束間的邏輯關系不但有「與and 」的關系，而且還有「或or 」的關系，並給出了在實際應用中可行的數學求解方法2利用了計算機圖形學中的constructive solid geometry csg方法來構建障礙物的不等式表述3將計算機cad中的插值方法與優化理論結合半無窮維優化，克服了路徑規劃問題中的局部最小值問題。
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