Some Theorems in the Existence, Uniqueness and Stability solutions of Volterra Integrals Equations

Authors

  • Raad N. Butris Department of Mathematics, Collage of Basic Education, University of Duhok, Kurdistan Region, Iraq
  • Sebar T. Qader Department of Mathematics, Collage of Basic Education, University of Duhok, Kurdistan Region, Iraq

DOI:

https://doi.org/10.25007/ajnu.v8n3a351

Keywords:

Uniqueness, Stability, Volterra Integrals

Abstract

      The aim of this work is to study the existence, uniqueness and stability solutions of Volterra integrals equations by using both  Picard approximation and Banach fixed point theorems. This study leads  to develop and extend the above theorems and to expand the results obtained by Butris.

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References

[1]. R. N. Butris , Solutions for the Volterra integral equations of the second kind, university of Mosul ,Mosul, Iraq, (1984) .
[2]. R. N. Butris, and Rafeq, A. Sh., Existence and Uniqueness Solution for Nonlinear Volterra Integral Equation, J. Duhok Univ. Vol. 14, No. 1, (Pure and Eng. Sciences),(2011),25-29.
[3] C. Corduneanu, I.W. Sanberg, Volterra Equations and Aplications, Gordon and Breach Science Publisher. Vol. 10, (2000) ,xiii pages.
[4]. E. A . Coddington , An introduction to Ordinary Differential Equations ,Prentice-Hall,Inc.Englewood Cliffs,N.J., (1961), 292 pages.
[5]F,G Tricomi, (1965), Integral Equations, Turin University, Turin, Italy.
[6]. E.A. Goma, Sccessives approximation method of two points boundary problems, Ukrania,Math.,J.,Tom(33),Kiev,(1976),800-835.
[7]. M.M. Rama, Ordinary Differential Equations Theory and Applications, United Kingdom, (1981), 266 pages.
[8]. O.Plaat, Ordinary Differential Equations, Holden-Day,Inc.San Francisco,Cambridge,Londan,A msterdam ,1971)295 pages .

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Published

2019-06-11

How to Cite

Butris, R. N., & Qader, S. T. (2019). Some Theorems in the Existence, Uniqueness and Stability solutions of Volterra Integrals Equations. Academic Journal of Nawroz University, 8(3), 6–9. https://doi.org/10.25007/ajnu.v8n3a351

Issue

Vol. 8 No. 3 (2019)

Section

Articles

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