Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (2): 484-494.doi: 10.1016/S0252-9602(13)60013-2

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ON A NONLINEAR VOLTERRA-HAMMERSTEIN INTEGRAL EQUATION IN TWO VARIABLES

Le Thi Phuong Ngoc|Nguyen Thanh Long   

  1. Nhatrang Educational College, 01 Nguyen Chanh Str., Nhatrang City, Vietnam; Department of Mathematics and Computer Science, University of Natural Science,Vietnam National;
    University Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Vietnam
  • Received:2011-07-11 Online:2013-03-20 Published:2013-03-20
  • Supported by:

    The authors are extremely grateful for the support given by Vietnam’s National Foundation for Science and Technology Development (NAFOSTED) under Project 101.01-2012.12.

Abstract:

Using a fixed point theorem of Krasnosel’skii type, this article proves the exis-tence of asymptotically stable solutions for a Volterra-Hammerstein integral equation in two variables.

Key words: Volterra-Hammerstein integral equation in two variables, the fixed point theo-rem of Krasnosel’skii type, contraction mapping, completely continuous, asymp-totically stable solution

CLC Number: 

  • 47H10
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