期刊文献+
共找到200篇文章
< 1 2 10 >
每页显示 20 50 100
Boundary Value Problems for Second-order Integro-differential Equations in Banach Spaces 被引量:1
1
作者 莫海平 郭林 《Northeastern Mathematical Journal》 CSCD 2002年第2期183-188,共6页
This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a c... This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique. 展开更多
关键词 integro-differential equation ordered Banacb space comparison theorem monotone iterative technique
下载PDF
Stability for Functional Differential Equations with Delay in Banach Spaces
2
作者 Anna Kisiolek Ireneusz Kubiaczyk Aneta Sikorska-Nowak 《Advances in Pure Mathematics》 2019年第4期337-346,共10页
In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Resul... In this paper, using Sadovskii’s fixed point theorem and properties of the measure of noncompactness, we obtain asymptotic stability results for solutions of nonlinear differential equation with variable delay. Results presented in this paper extend some previous results due to Burton?[1], Becker and Burton?[2], Ardjouni and Djoudi [3], and Jin and Luo?[4]. 展开更多
关键词 Fixed Point differential equationS banach space STABILITY MEASURE of Noncompactness
下载PDF
Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps
3
作者 Nawab Hussain Saud M.Alsulami Hind Alamri 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2617-2648,共32页
In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich a... In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated withSλand consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations.We also establish certain interesting examples to illustrate the usability of our results. 展开更多
关键词 Common fixed points Reich and Chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space banach space integral equation nonlinear fractional differential equation
下载PDF
Periodic Solutions of Integro-Differential Equations
4
作者 Bahloul Rachid 《Advances in Pure Mathematics》 2022年第3期125-135,共11页
The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2π) with the periodic condition x(0) = x(2π) , where a ∈ L<sup>1</sup> (R<sub>+&... The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2π) with the periodic condition x(0) = x(2π) , where a ∈ L<sup>1</sup> (R<sub>+</sub>). Our approach is based on the M-boundedness of linear operators B<sup>s</sup><sub>p,q</sub>-multipliers and some results in Besov space. 展开更多
关键词 integro-differential equations Bsp q-Multipliers Besov space
下载PDF
ODEs IN BANACH SPACES AND FIXED POINTS OF WEAKLY INWARD MAPS 被引量:2
5
作者 韩志清 《Acta Mathematica Scientia》 SCIE CSCD 1995年第1期74-82,共9页
This paper is an attempt to investigate systematically fixed points of weakly inward maps by using some basic results from differential equations in Banach spaces. By investigating the Poincare operators for such diff... This paper is an attempt to investigate systematically fixed points of weakly inward maps by using some basic results from differential equations in Banach spaces. By investigating the Poincare operators for such differential equations, we establish a fixed point index theory for two classes of weakly inward maps. 展开更多
关键词 WEAKLY inWARD MAPS differential equation in banach space
下载PDF
G-Contractive Sequential Composite Mapping Theorem in Banach or Probabilistic Banach Space and Application to Prey-Predator System and A &H Stock Prices
6
作者 Tianquan Yun 《Applied Mathematics》 2011年第6期699-704,共6页
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger... Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger than or equal to 1, and are more general than the Banach contraction mapping theorem. Application to the proof of existence of solutions of cycling coupled nonlinear differential equations arising from prey-predator system and A&H stock prices are given. 展开更多
关键词 G-Contractive MAPPinG Periodic MAPPinG PROBABILISTIC banach space PREY-PREDATOR System differential equation of STOCK Price
下载PDF
INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES 被引量:28
7
作者 GUO DAJUN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第4期439-448,共10页
This paper investigates the maximal and minimal solutions of initial value problem for second order nonlinear impulsive integro differential quation in a Banach space by establishing a comparison result and using the ... This paper investigates the maximal and minimal solutions of initial value problem for second order nonlinear impulsive integro differential quation in a Banach space by establishing a comparison result and using the upper and lower solutions. 展开更多
关键词 Impulsive integro differential equation banach space initial value problem Comparison result
原文传递
Existence Solution for 5th Order Differential Equations under Some Conditions 被引量:2
8
作者 Sayada Nabhan Odda 《Applied Mathematics》 2010年第4期279-282,共4页
We study a nonlinear differential equations in the Banach space of real functions and continuous on a bounded and closed interval. With the help of a suitable theorems (fixed point) and some boundary conditions, the 5... We study a nonlinear differential equations in the Banach space of real functions and continuous on a bounded and closed interval. With the help of a suitable theorems (fixed point) and some boundary conditions, the 5th order nonlinear differential equations has at least one positive solution. 展开更多
关键词 FIXED-POinT THEOREM banach space Nonlinear 5th Order differential equationS
下载PDF
BOUNDARY VALUE PROBLEM FOR NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION IN BANACH SPACE 被引量:4
9
作者 Yuan Wenzhi Wang Wenxia (Dept. of Math., Taiyuan Teachers College, Taiyuan 030012) 《Annals of Differential Equations》 2006年第3期423-429,共7页
In this paper, by establishing a new comparison result and using the monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problem for second-order impulsive differential e... In this paper, by establishing a new comparison result and using the monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problem for second-order impulsive differential equation which depends on x’ in Banach space is obtained. 展开更多
关键词 ordered banach space CONE impulsive integro-differential equation
原文传递
Banach空间中复合刚性Volterra泛函微分方程隐显Euler方法的稳定性分析
10
作者 龙滔 余越昕 《工程数学学报》 CSCD 北大核心 2023年第6期929-940,共12页
刚性泛函微分方程数值方法的研究大多是在内积空间中基于单边Lipschitz常数具有适度大小的条件下进行;然而对于某些刚性问题,其单边Lipschitz常数却不可避免地取非常巨大的正值。因此有必要突破内积空间和单边Lipschitz常数的限制,直接... 刚性泛函微分方程数值方法的研究大多是在内积空间中基于单边Lipschitz常数具有适度大小的条件下进行;然而对于某些刚性问题,其单边Lipschitz常数却不可避免地取非常巨大的正值。因此有必要突破内积空间和单边Lipschitz常数的限制,直接在Banach空间中探讨相应的数值方法。针对Banach空间中的非线性复合刚性Volterra泛函微分方程,对其非刚性部分采用显式Euler方法求解,刚性部分采用隐式Euler方法求解,得到了求解该问题的隐显Euler方法,论证了方法的稳定性和渐近稳定性。数值试验结果验证了所获理论的正确性。 展开更多
关键词 复合刚性微分方程 稳定性 渐近稳定性 隐显Euler方法 banach空间
下载PDF
REMARKS OF DIFFERENTIAL EQUATIONS ON CLOSED SUBSETS IN A BANACH SPACE
11
作者 范进军 庄万 《Annals of Differential Equations》 1997年第1期53-61,共9页
We give some extensions of Monch-Harton inequalities with respect to measures of noncompactness. As an example of the application, we obtain two existencetheorems of solutions for Cauchy problems of differential equat... We give some extensions of Monch-Harton inequalities with respect to measures of noncompactness. As an example of the application, we obtain two existencetheorems of solutions for Cauchy problems of differential equations on closed setsunder weaker compactness conditions. 展开更多
关键词 differential equations in banach spaces solutions on closed sets noncompactness measure.
原文传递
Banach空间中二阶非线性微分积分方程周期边值问题 被引量:9
12
作者 张晓燕 孙经先 苏军 《工程数学学报》 CSCD 北大核心 2004年第6期1041-1044,共4页
本文通过建立一个新的比较定理,给出了 Banach 空间中含有导数项 u 的二阶非线性微分积分 方程周期边值问题最大解和最小解的存在性。
关键词 banach空间 周期边值问题 微分积分方程 单调迭代技巧
下载PDF
Banach空间中非线性刚性DDEs θ-方法渐近稳定性 被引量:6
13
作者 文立平 李寿佛 +1 位作者 余越昕 王文强 《系统仿真学报》 EI CAS CSCD 北大核心 2005年第3期606-608,共3页
科学与工程技术中存在大量刚性问题,尽管问题本身是整体良态的,但当使用内积范数时,其最小单边 Lipschitz 常数却不可避免地取非常巨大的正值,导致基于此常数下建立的数值稳定性理论失效。针对求解 Banach 空间中一类非线性刚性延迟微... 科学与工程技术中存在大量刚性问题,尽管问题本身是整体良态的,但当使用内积范数时,其最小单边 Lipschitz 常数却不可避免地取非常巨大的正值,导致基于此常数下建立的数值稳定性理论失效。针对求解 Banach 空间中一类非线性刚性延迟微分方程初值问题的线性和单支θ -方法建立了渐近稳定的充分条件,即使按内积范数其单边 Lipschitz 常数十分巨大的问题仍有可能属于这类问题,因而所建立的结果对于这些问题同样是适用的。 展开更多
关键词 banach空间 渐近稳定性 延迟微分方程 Θ-方法
下载PDF
Banach空间一阶脉冲微分积分方程组初值问题的解 被引量:2
14
作者 蔡增霞 刘立山 +1 位作者 焦圣华 王树艳 《数学研究》 CSCD 2007年第2期164-172,共9页
研究了Banach空间非线性一阶脉冲微分积分方程组初值问题解的存在性,改进并推广了近期的一些结果.
关键词 脉冲微分积分方程组 比较定理 非紧性测度 banach空间
下载PDF
Banach空间二阶积-微分方程组初值问题 被引量:1
15
作者 宋光兴 王秀荣 +1 位作者 排新颖 梁树霞 《数学物理学报(A辑)》 CSCD 北大核心 2008年第6期1119-1127,共9页
该文利用新的比较结果研究Banach空间二阶积-微分方程组初值问题解的存在性.即使在有限维空间,其结果也是新的.
关键词 积-微分方程组 比较结果 banach空间
下载PDF
Banach空间常微分方程理论的若干问题 被引量:10
16
作者 郭大钧 孙经先 《数学进展》 CSCD 北大核心 1994年第6期492-504,共13页
本文综述了Banach空间常微分方程理论近期的发展,主要为紧型条件、耗散型条件、非线性半群、上下解方法、边值问题、Banach空间中的积-微分方程和脉冲方程,以及对于不动点理论和临界点理论的应用,并且给出了作者们在这... 本文综述了Banach空间常微分方程理论近期的发展,主要为紧型条件、耗散型条件、非线性半群、上下解方法、边值问题、Banach空间中的积-微分方程和脉冲方程,以及对于不动点理论和临界点理论的应用,并且给出了作者们在这一领域中的一些新结果. 展开更多
关键词 常微分方程 拓扑度 巴拿赫空间
下载PDF
Banach空间二阶非线性脉冲积分-微分方程初值问题 被引量:13
17
作者 谢胜利 《数学物理学报(A辑)》 CSCD 北大核心 2007年第1期138-145,共8页
该文在较宽松的条件下,利用不动点理论,得到了Banach空间中二阶非线性脉冲积分-微分方程初值问题解的存在性定理.作者去掉了脉冲项的紧性和增长性限制,因而本质上改进和推广了某些现有的结果.
关键词 banach空间 脉冲积分-微分方程 初值问题 非紧性测度.
下载PDF
Banach空间中二阶脉冲微分-积分方程的解 被引量:6
18
作者 张金清 《数学物理学报(A辑)》 CSCD 北大核心 1999年第S1期565-572,共8页
该文利用不动点定理研究了Banach空间中二阶脉冲微分-积分方程初值问题解的存在性,推广了文[1]中的结果.
关键词 脉冲微分-积分方程 banach空间 初值问题 非紧性测度
下载PDF
Banach空间中二阶积分-微分方程的初值问题(英文) 被引量:5
19
作者 王文霞 《应用泛函分析学报》 CSCD 2003年第2期132-142,共11页
 使用锥理论及单调迭代技术,首先讨论了Banach空间中一阶积分-微分方程初值问题的最小最大解的存在性,并在此基础上讨论了带有一阶微分项的二阶积分-微分方程初值问题的最小最大解的存在性.
关键词 banach空间 积分-微分方程 初值问题 锥理论 单调迭代 最大解 最小解 存在性
下载PDF
Banach空间积-微分方程初值问题解的存在性 被引量:3
20
作者 李永祥 《工程数学学报》 CSCD 北大核心 2002年第3期69-74,共6页
研究了有序Banach空间积 微分方程初值问题解的存在性 ,利用一个新建立的积分 微分不等式及单调迭代方法 。
关键词 初值问题 存在性 banach空间积-微分方程 正规锥 单调迭代方法 积分-微分不等式
下载PDF
上一页 1 2 10 下一页 到第
使用帮助 返回顶部