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On solvability and stability of solutions of linear integral and summary equations of the first kind

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주제분류수학

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We study the questions of solvability and stability of solutions of linear integral and summary equations of the first kind with linear and nonlinear kernels. We use the method of successive approximations in combination it with the method of compressing mapping.

Abstract

We study the questions of solvability and stability of solutions of linear integral and summary equations of the first kind with linear and nonlinear kernels. We use the method of successive approximations in combination it with the method of compressing mapping.

참고문헌 (4)

  1. Asanov, А. Regulation, "uniqueness and existence of solutions of the Volterra equations Avtoreferat of doctoral dissertation", pp.21~ (1992), Russian
  2. Yuldashev, Т.К., "Volterra integral equations of the first kind with nonlinear right-hand side Complicated systems and processes (Ukraine)", (1;2), pp.3~5 (2005)
  3. Yuldashev, T.K., "Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration", Ukr. Маth. J, 58(9), pp.1285~1288 (2006)
  4. T. K. Yuldashev, "On a summary equation with weak nonlinear right-hand side", Advanced Studies in Contemporary Mathematics, 15(1), pp.95~98 (2007), 장전수학회(章田數學會)

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