• Title/Summary/Keyword: Volterra-Fredholm type integral equations

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A MATRIX FORMULATION OF THE MIXED TYPE LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

  • Fazeli, S.;Shahmorad, S.
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1409-1420
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    • 2011
  • In this paper we present an operational method for solving linear Volterra-Fredholm integral equations (VFIE). The method is con- structed based on three matrices with simple structures which lead to a simple and high accurate algorithm. We also present an error estimation and demonstrate accuracy of the method by numerical examples.

ON CERTAIN NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES FOR FUNCTIONS IN TWO VARIABLES AND THEIR APPLICATIONS

  • Ma, Qing-Hua;Pecaric, Josip
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.121-136
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    • 2008
  • Some new explicit bounds on the solutions to a class of new nonlinear retarded Volterra-Fredholm type integral inequalities in two independent variables are established, which can be used as effective tools in the study of certain integral equations. Some examples of application are also indicated.

ON SOLUTIONS OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

  • Thabet, A.A.;Alim, A.Hadi
    • Kyungpook Mathematical Journal
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    • v.29 no.2
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    • pp.141-147
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    • 1989
  • The existence and uniqueness of solutions of nonlinear Volterra-Fred-holm integral equations of the more general type are investigated. The main tool employed in our analysis is the method of successive approximation based on the general idea of T.Wazewski.

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