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- For the computational stability of linear evolution equation, the condition of CLF for judging the computational stability of initial value problem is introduced. 針對線(xiàn)性發(fā)展方程的計算穩定性問(wèn)題，介紹了判定線(xiàn)性發(fā)展方程初值問(wèn)題的穩定性判別條件：CLF條件。
- semi - linear evolution equation 半線(xiàn)性發(fā)展方程
- One-Parameter Semigroups for Linear Evolution Equations, Engel, Nagel 線(xiàn)性發(fā)展方程的單參數半群
- A permeable tensor evolution equation of equivalently continuous medium has also been developed. 基于巖體裂隙的損傷變形，提出了裂隙巖體滲透張量演化方程。
- In the article we show the decay of the solution for some nonlinear evolution equation of second order by using a difference inequality. 本文應用一個(gè)差分不等式證明了一類(lèi)二階非線(xiàn)性發(fā)展方程初邊值問(wèn)題整體解的衰減性質(zhì).
- The major contents in this paper include: the exact solutions of the non-linear evolution equation and the integrable system. 本文研究的內容主要包括兩個(gè)方面：非線(xiàn)性發(fā)展方程的精確解與可積系統。
- The paper studies the global existence, asymptotic behavior and blowup of weak solutions to the initial bounary value problem of a nonlinear evolution equation. 摘要研究一類(lèi)非線(xiàn)性發(fā)展方程初邊值問(wèn)題整體弱解的存在性、漸近性和解的爆破問(wèn)題。
- The advantages are via immunity operation to maintain diversity of the antibodies, and the speed of convergent are improved by using evolution equation. 算法的主要特點(diǎn)是利用免疫處理操作，提高種群的多樣性，利用進(jìn)化方程提高收斂速度。
- Finally, they take advantage of the fixed point method for some contraction mapping and get the solvability of the inverse problem for the evolution equation. 最后，利用壓縮映射不動(dòng)點(diǎn)方法，得到反問(wèn)題的可解性.
- According to basic damage principle, the shear damage variable of rock and the pull damage variable of grout body are defined, and the damage evolution equation is suggested. 摘要根據損傷理論的基本原理，分別定義了巖體剪切損傷變量和受拉漿體材料的損傷變量，確定了各自相應的損傷演化方程；
- YANG Zhijian,SONG Changming.On the existence and nonexistence of global solutions for a class of nonlinear evolution equation[J].Acta Math Appl Sinica,1997,20(3):321-331. [9]楊志堅;宋長(cháng)明.;關(guān)于一類(lèi)非線(xiàn)性發(fā)展方程整體解的存在性問(wèn)題[J]
- Indeed, it is not clear whether one should interpret the Dirac equation as a quantum mechanical evolution equation, like the Schrodinger equation for single particle. 而時(shí)下一部理論的發(fā)展，一種數學(xué)語(yǔ)言是不可缺少的，只要人們試圖潛心地思考和研究物理學(xué)問(wèn)題及物理現象。
- First, by virtue of semigroup theory, the considered system is converted into an evolution equation in abstract space and the uniqueness of the solution to the evolution equation is proved. 首先將所討論的系統化為抽象空間中的發(fā)展方程;并利用Co半群理論給出閉環(huán)系統解的存在唯一性.
- Three eigenvalue problems associated with the same isospectral evolution equation are proposed. The corresponding nonlinearized eigenvalue problems and their relations are studied by the reduction procedure. 摘要通過(guò)約化理論，研究了對應于同一離散孤立子方程族的三個(gè)離散特征值問(wèn)題的非線(xiàn)性化特征值問(wèn)題以及它們之間的關(guān)系。
- At present,the policies of ecological industry(EI) in many places show the system linear evolutional characteristics,which makes local government intervene to the development of EI excessively. 目前許多地方的生態(tài)工業(yè)政策呈現為系統線(xiàn)性演化特征,這造成地方政府過(guò)度干預生態(tài)工業(yè)發(fā)展,尤其在生態(tài)工業(yè)園建設中,盲目投資、激進(jìn)行為導致了工作的低效和浪費。
- It is shown that at the high-frequency limit, the evolution of the wave is governed by a nonlinear evolution equation, which is an extension of the well-known Benjamin-Ono equation. 在高頻率假設下,分析得到控制波的演化的非線(xiàn)性方程,且該方程是著(zhù)名的Benjamin-Ono方程的推廣,并對新的方程進(jìn)行了數值計算,得到簡(jiǎn)單孤立波解。
- By setting up a basic evolution equation, analyses the operating mechanism and characters of the system in terms of non-stability, diversity (bifurcation), catastrophe and random fluctuation. 建立了系統的基本演化方程，并據此分析說(shuō)明了知識創(chuàng )新系統的不穩定性、多樣性、分岔、突變以及隨機“漲落”等特征和作用機制。
- In order to choose rock cover of Xiamen subsea tunnel now,3D elastoplastic constitutive relation and damage evolution equation for 4 profiles has been done along the longitudinal of the tunnel. 在廈門(mén)海底隧道軸線(xiàn)的地質(zhì)剖面圖上,選取了4個(gè)典型的剖面,應用多裂隙巖體三維彈塑性本構關(guān)系和損傷演化方程進(jìn)行數值分析研究,得到了應力分布、洞周位移、塑性區、損傷區等結果。
- Furthermore, the global minimum of the error function is verified to be the terminal attractor of the error evolution equation, which guarantees the NNs learning process converge within finite time. 且最優(yōu)值點(diǎn)即是誤差演化方程的終端吸引子，從而又保證 了網(wǎng)絡(luò )的學(xué)習過(guò)程能在有限時(shí)間內產(chǎn)生收斂。
- The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. 摘要為了求非線(xiàn)性發(fā)展方程的孤立波解，提出了齊次平衡法的擴展應用。
