数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (2): 226-234.

• 论文 • 上一篇    下一篇

ON CERTAIN BOUNDARY VALUE PROBLEMS FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

D. G. Pachpatte   

  1. Department of Mathematics and Statistics Marathwada University Aurangabad 431004(Maharashtra), INDIA
  • 收稿日期:1993-04-06 出版日期:1994-06-25 发布日期:1994-06-25

ON CERTAIN BOUNDARY VALUE PROBLEMS FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

D. G. Pachpatte   

  1. Department of Mathematics and Statistics Marathwada University Aurangabad 431004(Maharashtra), INDIA
  • Received:1993-04-06 Online:1994-06-25 Published:1994-06-25

摘要: In this paper we seek sufficient conditions for the existence, uniqueness and continuous dependene on parameter of solutions of certain boundary value problems for nonlinear integrodifferential equations. The main tool employed in our analysis is based on converting the problems into equivalent Volterra integral equations by means of Green's function representation and the application of the Banach fixed point theorem.

Abstract: In this paper we seek sufficient conditions for the existence, uniqueness and continuous dependene on parameter of solutions of certain boundary value problems for nonlinear integrodifferential equations. The main tool employed in our analysis is based on converting the problems into equivalent Volterra integral equations by means of Green's function representation and the application of the Banach fixed point theorem.