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拟解对
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  extremal solution
     In the condition of not involving compactness type,the existence of extremal solution for ordinary differential equation in Banach space was proved.
     在不涉及紧型条件的情形下,证明了Banach空间中一类常微分方程的最小、最大拟解对的存在性.
短句来源
  quasi-solutions pair
     Generalized Quasi-Solutions Pair of Two-Point Boundary Value Problems of Second Order Ordinary Differential Equations In Banach Spaces
     Banach空间中二阶常微分方程的两点边值问题的广义拟解对
短句来源
     GENERALIZED QUASI-SOLUTIONS PAIR OF BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE
     Banach空间二阶非线性脉冲常微分方程边值问题广义拟解对
短句来源
     we give the definetion of quasi - apper and lower solution in integro - differential equations of mixed type. Then,Study the existence of the maximal and mininal quasi -solutions pair. Our results inproves and generilizas the results in [2, 3],and the method of proof is different from past literature.
     首先提出Banach空间混合型微分─积分方程初值问题的拟上、下解的概念,然后研究初值问题的最大、最小拟解对的存在性,在这里,我们去掉了一般文献中所用的耗算型条件和紧型条件,推广和改进了文[2,3]中相应的结果,而且证明方法也不同于以往文献。
短句来源
  “拟解对”译为未确定词的双语例句
     Coupled Quasi—Solutions of Volterra Nonlinear Integral Equations in a Banach Space
     Banach空间中Volterra非线性积分方程的拟解对
短句来源
     Generalized Quasi Solutions Pairs of Nonlinear Impulsive Integro differential Equations in Banach Spaces
     Banach空间非线性脉冲混合型微分-积分方程的广义拟解对
短句来源
     THE COUPLED MAXIMAL AND MINIMAL QUASI-SOLUTION OF THE DIFFERENTIAL EQUATION IN BANACH SPACE
     Banach空间常微分方程最小最大拟解对的存在性
短句来源
     Solution and Coupled Minimal-Maximal Quasi-Solutions of Nonlinear Non-monotone Operator Equations in Banach Spaces
     Banach空间非线性非单调算子方程的解和最小-最大拟解对(英文)
短句来源
     In this paper,the partial ordering theory is used to discuss the coupled quasi—solutions of the Volterra nonlinear integral equations in the weakly sequentially complete Banach space without using the compact type condition.
     本文利用半序理论,不使用紧型条件,在弱序列完备的 Banach 空间中讨论了Volterra 非线性积分方程的拟解对
短句来源
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  相似匹配句对
     The Dissipativc Effect to Quasilinear Hyperbolic Systems
     耗散线性双曲系统的影响
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     To the H.pylori seropositive participants, H.pylori stool antigen was also tested;
     H.
短句来源
     Solutions of Quasi-convex Games
     策的
短句来源
     Based on the analysis of X.
     在X.
短句来源
     Coupled Quasi—Solutions of Volterra Nonlinear Integral Equations in a Banach Space
     Banach空间中Volterra非线性积分方程的
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  extremal solution
An explicit analytical expression for the extremal solution is obtained.
      
We also prove that there exists an extremal solution for which a limit of the maximal mean uniform in the initial conditions is realized.
      
The Hamiltonian equations of an extremal solution, therefore, reduce to a navigation equation.
      
Regularity of the Extremal Solution of Some Nonlinear Elliptic Problems Involving the p-Laplacian
      
We prove that, for such general nonlinearities f, the extremal solution u* belongs to L?∞?(Ω) if N?>amp;lt;?p?+?p/(p?-?1) and $u^{*} \in W^{{1,p}}_{0} {\left( \Omega \right)}$ if N?>amp;lt;?p(1?+?p/(p?-?1)).
      
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In this paper,the partial ordering theory is used to discuss the coupled quasi—solutions of the Volterra nonlinear integral equations in the weakly sequentially complete Banach space without using the compact type condition.

本文利用半序理论,不使用紧型条件,在弱序列完备的 Banach 空间中讨论了Volterra 非线性积分方程的拟解对

Abstract In this paper , we give the existence theorems of coupled fixed points on discontinuous mixed monotone mapping in ordered topological spaces. As application,we study the existence of pair of minimal-maximal quasisolutions for a class of nonlinear differential equations with discontinuous right hand side.

本文得到半序拓扑空间中某些不连续混合单调映射耦合不动点的存在性。作为应用,研究了Banach空间上一类含间断项的非线性微分方程最小最大拟解对的存在性。

In this paper,we combine the Semi-order theory with mixed monotone iterative technique to investigate the approximation convergence theorem of quasi-solutions pair boundary value problems of second order ordinary differential equations in Banch spaces.This results are generalization of main results of[1].

本文利用半序理论和混合单调迭代技术研究了Banach空间中二阶非线性常微分方程两点边值问题拟解对的逼近收敛定理,推广了文[1]的主要结论。

 
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