Dong Wei. Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1111-1116.
Citation: Dong Wei. Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1111-1116.

Uniqueness of Solutions for a Class of Non-Linear Volterra Integral Equations without Continuity

  • Received Date: 1995-05-04
  • Rev Recd Date: 1997-07-02
  • Publish Date: 1997-12-15
  • In this paper, the fixed point theorem of increasing opera for with non-continuityis uilized to discuss foe exislence and uniqueness of positire solution for a class of nonlinear Volterra integral equations. An important condition of continuity can bereplaced by weak condition.
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  • [1]
    J.Goncerzewicz.H.Marcinkowska,W.Okrasinski and K.Tabisz,On the Percolation ofwater from a cylindrical reservoir into the surrounding soil.Zastas.Mat.16 (1978),249~261.
    [2]
    J.J.Keller.Propagation of simple nonlinear waves in gas filled tubes with friction,Z Angew.Math.Phys.32 (1981),170~181.
    [3]
    P.J.Bushed and W.Okrasinski,Non-linear Volterra equations with convolution kernel J.London.Math.Soc.41.2 (1990).503-510.
    [4]
    P.J.Bushed and W.Okrasinski,Uniqueness of solutions for a class of non-linearVolterra integral equations with convolution kernel,Math.Proc.Camb.Phil.Soc.106(1989).547~552.
    [5]
    Sun Jingxian.Fixed point theorem of non-continuous increasing operator and itsapplication on non-linear equations,Acta Mathematica Sinica.31,1 (1988),101-107.
    [6]
    Guo Da inn.Non-linear Function Analysis,Shandong Science and Technology Press(1985).234-243.
    [7]
    Guo Dajun and V.Lakshmikanthan.Non-linear Problems in Asbtract Cones,Notes andReports in Mathematics Science and Engineering.Vol.5 (1988),1-17.
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