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- The techniques used here are based on the unique continuation of linear parabolic systems arid the fixed point theorem. 所用的技巧主要是建立在線性拋物系統的唯一連續性和不動點方法的基礎上。
- Aim In order to develop and improve the fixed point theorem in metric space and extend the application. 摘要目的為了進一步發展和完善度量空間中的不動點理論,擴展不動點定理的應用範圍。
- By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given. 摘要應用不動點定理,研究了一類二階時滯微分方程,給出了其唯一周期正解的存在性定理。
- In this paper, Taskovic M R localized monotone principle is pimroved, and Boyd D W and Wong J S fixed point theorem is extened. 本文得到的結果較好地改進了TaskoviC N R提出的局部化單調原理;推廣了Boyd D W和Wong J S的結果.
- In this paper, we will give a new type of fixed point theorem for non - self - mapping in a com-plete metrically convex metric space. 本文給出在完備度量凸空間上非自映射的一類新的不動點定理。
- In this paper, we discuss the fixed point theorem of map with pseudo-metric function, and generalize the results in (1) and (2). 本文用偽度量函數來討論映射中的不動點定理,推廣了文[1][2]中的一些結果。
- In this paper, we show the existence of the multiple positive solutions of a class of three-order Boundary Value Problems via the fixed point theorem on cone. 摘要利用錐拉伸與錐壓縮不動點定理研究了一類三階兩點邊值問題的無窮多個正解。
- And two fixed point theorems in quasi-metric spaces are obtained. 最後,給出了非對稱度量空間上的兩個不動點定理。
- Baaed on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations. 摘要利用兩點拉伸型不動點定理給出一階時滯差分方程周期解存在性的充分條件。
- Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space. 研究了在完備度量空間中一對模糊映象滿足一些特定不等式條件,以及當其截集是中非空有界閉集時,該對模糊映象的公共不動點的存在性問題。
- The fixed point theorems for generalized D-metric space are proved. 摘要給出了D-度空間一組不動點定理。
- The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. 摘要利用打靶法、上下解方法和不動點定理等工具,研究有孔區域上一類具非局部邊值條件的非線性擴散方程。
- This article discusses a class of degenerate neutral differential system. Some sufficient conditions of the existence of periodic solution for the system are obtained by using the fixed point theorem. 摘要該文考慮一類退化中立型微分系統,利用不動點定理,得到了這類系統周期解存在的充分條件。
- A common fixed point theorem for compatible mappings of type (A) is proved and a application to the existence and uniqueness of solutions of system of functional equations in dynamic programming is given. 摘要證明了(A)型相容映射的一個公共不動點定理,並討論了起源於動態規劃的泛函方程組的解的存在性和唯一性。
- The present paper is establish the existence theorem of a class of singular boundary value problems for quasilinear ordinary differential equation with the fixed point theorem as the principal tool, and develops semilinear corresponding results. 摘要本文使用不動點定理建立了一類奇異擬線性常微分方程邊值問題正解的存在性定理,發展了半線性所得相應結果。
- We are concerned with the periodic BVP on for the Lienard equation x+f(x)x+g(t, x)=e(t)x(0)=x(T), x(0)=x(T)and Laray-Schauder fixed point theorem is used in the studies of the existence of the periodic solutions. 主要利用Leray-Schauder不動點理論研究Lienard方程周期邊值問題x?+f(x)x?+g(t;x)=e(t)x(0)=x(T);x?(0)=x?(T)的正解及多個正解的存在性.
- We obtain sufficient conditions for the existence of at least three positive solutions for the boundary value problem of a second order functional differential equation this is an application of a new fixed point theorem introduced by Avery and Peterson. 本文利用Avery和Peterson引入的新的不動點定理,得出了泛函微分方程邊值問題存在三個正解的充分條件並得出了有關新結果。
- By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function (1.8) and (1.9) was dealt with, the conclusions made in the relevant documents was extended. 利用指數型二分性理論及不動點定理和壓縮映像原理研究了一類中立型積分微分方程周期解的存在性問題,推廣了相關文獻的主要結論。
- By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function were dealt with, the conclusions made in the relevant documents were extended. 利用指數型二分性理論及不動點定理和壓縮映像原理研究了一類中立型積分微分方程周期解的存在性,穩定性問題,推廣了相關文獻的主要結論。
- The existence of positive solutions is established for a superlinear singular boundary value problem of fourth order differential equations by using a fixed point theorem in a cone. 利用錐上的不動點定理給出了超線性四階微分方程的奇異邊值問題一種情況下的正解的存在性.