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Banach空间非线性脉冲Volterra积分方程组的整体解 被引量:2

Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces
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摘要 研究Banach空间中定义在无穷区间R+上具有无穷多个脉冲点的非线性脉冲Volterra积分方程组解的存在性· 给出了若干极值解的存在定理 ,改进了定义在有限区间上具有有限个脉冲点情形时该类方程的相应结果 。 The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R + with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.
出处 《应用数学和力学》 EI CSCD 北大核心 2001年第6期551-560,共10页 Applied Mathematics and Mechanics
基金 国家自然科学基金!资助重大项目 ( 19990 510 ) 国家教委博士点专项基金!资助项目 (D0 990 1)
关键词 脉冲Volterra积分方程组 Tonelli方法 极值解 存在性 BANACH空间 非线性 脉冲点 system of impulsive Volterra integral equations Tonelli's method extremal solutions cone and partial ordering
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参考文献6

  • 1陈芳启.Banach空间中混合单调脉冲微分-积分方程解的存在性[J].系统科学与数学,1999,19(1):111-115. 被引量:9
  • 2Chen Fangqi,Acta Math Sci,1998年,18卷,4期,371页
  • 3Guo Dajun,J Appl Math Stochast Anal,1993年,6卷,1期,35页
  • 4Guo Dajun,J Appl Math Stochast Anal,1992年,5卷,2期,111页
  • 5Guo Dajun,Northeast Math J,1991年,7卷,4期,416页
  • 6Guo Dajun,Nonlinear Problems in Abstract Cones,1988年

二级参考文献11

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同被引文献13

  • 1陈芳启,田瑞兰,陈予恕.Banach空间无界域上二阶脉冲积分微分方程的解[J].应用数学和力学,2006,27(6):637-645. 被引量:2
  • 2刘立山.Banach空间非线性混合单调Hammerstein型积分方程的迭代解[J].系统科学与数学,1996,16(4):338-343. 被引量:9
  • 3谢胜利.Banach空间二阶非线性脉冲积分-微分方程初值问题[J].数学物理学报(A辑),2007,27(1):138-145. 被引量:13
  • 4YAN Baoqiang,SHI Guoliang. The existence of solutions of Fredholm integral equations in Banach spaces [J]. Acta Mathematiea Scientia, 1998,18(Supp. ) : 114-119.
  • 5HEINE H P. On the behaviour of measure of noncompactness with respect to differentiation and integration of vector valued functions[J]. Nonlinear Analysis, 1983,7 : 1351-1371.
  • 6DEJMLING K. Nonlinear Functional Analysis[M]. New York : Springer-Verlag, 1984.
  • 7XIE Shengli,ZHU Jiang . System of nonlinear impulsive Volterra integral equations in Banach spaces and applications[J ]. Southeast Asian Bulletin of Mathematics, 2004,28 : 1-13.
  • 8GUO Dajun. Terminal value problems of impulsive integro-differentiat equations in Banaeh spaces[J]. J. Appl. Math. Stochastic Analysis, 1997,10 : 71-78.
  • 9GUO Dajun. Nonlinear impulsive Volterra integral equations in Banach spaces and applications[J]. Appl. Math. Stochastic Analysis, 1993,6:35-48.
  • 10XIE Shengli. A remark on the existence of solutions of initial value problems for first order nonlinear impulsive integro-differential equations in Banach spaces[J]. J. Sys. Sci. & Math. Scis. ,2008,28(4) :482- 489.

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