schauder theorem 中文意思是什麼
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Schauder fixed point theorem and the existence of nash equilibrium
平衡點的存在性 -
This dissertation investigates both existence of traveling wave solutions for delayed reaction diffusion systems and lattice differential equations, and global attractor of spatially discretized fitzhugh - nagumo equations with dirichlet or neumann boundary conditions. for delayed reaction diffusion systems, the existence of traveling wavefronts in diffusive and coorperative system with time delays is provided, firstly ; the monotone iteration scheme, together with upper - lower solution technique, is applied to establish the existence of traveling wavefronts of delayed reaction diffusion systems with some zero diffusive coefficients. secondly, schauder fixed point theorem is applied to some operators to prove the existence of traveling wave solutions in a properly subset equipped with exponential decay norm, which is obtained from a pair of upper and lower solutions for delayed reaction diffusion systems with non - quasimonotoiiicity
對于時滯反應擴散方程，我們先利用吳建宏和鄒幸福[ j . dynam . diff . eqns2001 （ 3 ） ]中的主要定理來研究時滯競爭擴散lotka - volterra系統波前解的存在性，給出了這個定理在非線性項滿足弱擬單調條件（ qm * ）時在系統情況中的應用；並利用單調迭代方法和上、下解技術，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理，對于具有部分零擴散系數的時滯反應擴散方程建立波前解的存在性定理。 -
First, we apply the method of galerkin and the fixed theorem of the larey - schauder to prove the existence of the approximate solution. next, we give the priori estimates of the higher order derivatives ( with respect to spa - tial variable and time variable ) of the approximate solution
首先應用galerkin方法和larey一schaude :不動點定理證明近似解的存在性，然後進行近似解的高階導數的先驗估計（關于空間變量和時間變量） 。 -
2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field
二、通過線性方程解運算元譜半徑的論證，在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理，獲得了解的存在性與唯一性結果，這些結果推廣了近期這方面已有的一些結果。 -
In chapter 2, by using matrix measure and schauder fixed theorem, we discuss the existence and uniform stability of unique periodic solutions on neutral volterra integro - differential equations with infinite delay. involving the results that occured
第二章利用矩陣測度和schauder不動點定理討論一類無窮時滯中立型volterra方程周期解的存在性、唯一性及一致穩定性，推廣了非中立型volterra方程的一些結論，而且因為這類方程的廣泛性和代表性，所以包含了已有的一些結果。 -
For the class of nonlinear second order ordinary differential equations ( odes ), we firstly consider one of their special one - dimensional forms, and then prove the existence of solution to its two - point boundary value problem in the light of prior estimate and schauder fixed point theorem. we also show the exact solutions for the special equations as an example and plot the numerical solutions by mathematica
對于這類非線性的二階常微分方程，我們首先考慮其一維的特殊的形式，運用先驗估計，進而利用schauder不動點定理，證明了其兩點邊值問題解的存在性，並給出具體方程的解作為例子，然後用mathematica作出數值解的圖。
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