volterra equations 中文意思是什麼
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In the third part, for a class of parabolic integro - differential equations we obtained ultra - approximation between u and its ritz - volterra projection which leads to a ultraconvergence alternating theorem
最後，我們對一類拋物型積分-微分方程獲得了真解與ritz - volterra投影之間的強超逼近估計，並在此基礎上得到了一個強超收斂二擇一定理。 -
The numerical stability of implicit euler methods for volterra integral - delay equations
延遲積分方程的數值穩定性 -
In chapter 2 and 3, wave front solutions of the delay reaction - diffusion cui - lawson equation and the 2 - dimensional competitive lotka - volterra systems are obtained by constructing an upper solution and a lower solution of a second differential equation with delay. in chapter 4, it is discussed that travelling wave solutions of the delay reaction - diffusion equations whose reaction term do not satisfy quasimonotonicity condition or weak quasimonotonicity condition
在第二章和第三章，利用一類二階時滯微分方程解的存在性理論，通過構造這類時滯微分方程的上、下解，分別研究了含時滯和擴散的cui - lawson方程和二維競爭型lotka - volterra系統，得到了它們波前解存在的充分條件。 -
Asymptotic stability of a class volterra integro - differential equations with infinite delay
積分微分方程的漸近穩定性 -
In chapter 3, we use the tool of chapter 2. and initiate systematic study the stability of solutions of simple volterra equations, and give succinct conditions. in chapter 4, by means of constructing a kind of liapunov functional, we obtain h uniform stability of the solutions of a scalar volterra equation with infinite delay
第三章應用第二章類似的工具系統地討論了一類簡單的volterra方程的穩定性，給出這類方程幾種穩定性的具體的簡潔的判別條件。第四章利用一類liapunov泛函，建立一類純量volterra方程解的h -一致穩定性。 -
Existence of solutions to nonlinear volterra integral equations in locally convex spaces
四階奇異微分方程邊值問題正解的存在性 -
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。 -
Fde and dde have been extensively developed since 1959, and each branch has been set up a complete theory system. now, more and more scholars study fde and explore further developments. also, fde with infinite delay is one of the fields of great interest to people. in fact, fde with infinite delay has undergone a rapid development since 1870s. hale and kato gave a normal and set up the b phase space theory in 1978. under the basic theory, people studied the stability, boundedness and periodic solution of rfde. for example : in [ 4 ], huang qichang introduced the concept of uniformly forgetful functional, discussed the boundedness and stability of solution ; [ 5 ] - [ 8 ] discussed the existence of periodic solutions, generalized the results of rfde with finite delay. however, for nfde with infinite delay, few people discuss it, and many problems have not been solved. so there are some very interesting developments. lt is worth while generalizing the results of fde with fini te delay or rfde with infinite delay to nfde with infinite delay. because of the difficulty of infinite delay, we may discuss neutral volterra integro - differential equations, and obtain simple results
自1959年以來，無論是一般的泛函微分方程還是具體的微分差分方程，其發展是非常迅速的，在每一分支中都形成了一套完整的理論體系，如今越來越多的學者涉足這一領域探求更新的發展，無窮時滯泛函微分方程就是他們研究的主要對象之一。準確地說，無窮時滯泛函微分方程興起於19世紀七十年代， 1978年hale與kato提出b空間的公理體系。在此體系下建立了方程的基本理論，並研究了解的穩定性、有界性、周期解等問題，如[ 4 ]利用一致健忘的liapunov泛函討論了解的有界性和穩定性， [ 5 ] - [ 8 ]討論了周期解的存在性，推廣了有限時滯的相關結果。
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