Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 509-518.

• 论文 • 上一篇    下一篇

ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

陈芳启, 陈予恕   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:1990-01-23 修回日期:1999-10-18 出版日期:2000-05-18 发布日期:2000-05-18
  • 基金资助:
    the National Natural Science Foundation of China (19672043), the State Edu cation Commission Doctoral Foundation of China

ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES

Chen Fangqi, Chen Yushu   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:1990-01-23 Revised:1999-10-18 Online:2000-05-18 Published:2000-05-18
  • Supported by:
    the National Natural Science Foundation of China (19672043), the State Edu cation Commission Doctoral Foundation of China

摘要: Using the monotone iterative method and Mnch fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differential equations in Banach spaces are studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.

Abstract: Using the monotone iterative method and Mnch fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second-order integro-differential equations in Banach spaces are studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained.

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