Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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EXISTENCE AND BOUNDEDNESS OF SOLUTIONS FOR VOLTERRA DISCRETE EQUATIONS

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Goo, Yoon Hoe (Department of Mathematics Hanseo University) ;
  • Koo, Nam Jip (Department of Mathematics Chungnam National University)
  • Received : 2006.07.20
  • Published : 2006.09.30
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Abstract

In this paper, we examine the existence and bounded- ness of the solutions of discrete Volterra equations $$x(n)=f(n)+\sum_{j=0}^{n}g(n,j,x(j))$$, $n{\geq}0$ and $$x(n)=f(n)+\sum_{j=0}^{n}B(n,j)x(j)$$, $n{\geq}0$.

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