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Banach空间二阶积-微分方程组初值问题 被引量：1

Initial Value Problems for the Systems of Second Order Integro-differential Equations in Banach Space
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摘要 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. In this paper, by use of new comparison result, the existence of solutions of initial value problems for the systems of second order integro-differential equations in Bandch spaces is discussed. The results are new even in finite dimensional spaces.
作者 宋光兴 王秀荣 排新颖 梁树霞
机构地区 中国石油大学数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2008年第6期1119-1127,共9页 Acta Mathematica Scientia
关键词 积-微分方程组 锥 比较结果 解 BANACH空间 System of integro-differential equation Cone Comparison result Solution Banach space.
分类号 O177.91 [理学—基础数学]
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参考文献12

  • 1Guo D J. Initial value problems for second-order integro-differential equations in Banach spaces. Nonlinear Analysis, 1999, 37:289-300.
  • 2Liu Lishan. Iterative method for solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces. Nonlinear Analysis, 2000, 42:583-598.
  • 3Guo D J, Lakshmikantham V, Liu X Z. Nonlinear Integral Equations in Abstract Spaces. Dordrecht: Kluwer Academic Publishers, 1996.
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  • 5Guo D J. Initial value problems for second-order integro-differential equations of Volterra type in Banach spaces. J Appl Math Stochastic Anal, 1994, 7(1): 13-23.
  • 6Chen Y B, Zhuang W. The existence of maximal and minimal solution of the nonlinear integrodifferential equation in Banach spaces. Appl Anal, 1986, 22:139 -147.
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  • 10Ladde G S, Lakshmikantham V, Vatsala A S. Monotone Iterative Technique for Nonlinear Differential Equations. Boston and New York: Pitman, 1985.

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数学物理学报（A辑）
2008年 第6期

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