On a delay Volterra-Stieltjes quadratic integral equation

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DOI:

https://doi.org/10.26637/MJM0804/0010

Abstract

In this work, we study the existence of at least one and exactly one continuous solution \(x \in C[0, T]\) for a delay quadratic integral equation of Volterra-Stieltjes type. The continuous dependent of the unique solution will be also proved. The delay Volterra quadratic integral equation of Chandrasekhar's type will be considered.

Keywords:

Volterra-Stieltjes type, continuous solution, delay functional integral equation, continuous dependence

Mathematics Subject Classification:

Mathematics
  • Pages: 1392-1398
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

I. K. Argyros, Quadratic equations and applications to Chandrasekhars and related equations, Bull. Austral. Math. Soc., 32(1985), 275-282.

J. Banaś and B. Rzepka, An application of a measure of noncompactness in the study of asymptotic stability, Applied Mathematics Letters, 16(2003), 1-6.

J. Banaś and B. Rzepka, On existence and asymptotic stability of solutions of non linear integral equation, $J$. Math. Anal. Appl., 284(2003), 165-173.

J. Banaś, J.C. Mena, Some properties of nonlinear Volterra-Stieltjes integral operators, Comput Math. Appl., 49(2005), 1565-1573.

J. Banaś and J. Dronka, Integral operators of VolterraStieltjes type, their properties and applications, Math. Comput. Modelling 32(2000), 1321-1331.

J. Banaś and K. Sadarangani, Solvability of VolterraStieltjes operator-integral equations and their applications, Comput. Math. Appl., 41(2001), 1535-1544.

J. Banaś, D. O'Regan, Volterra-Stieltjes integral operators, Math. Comput. Modelling, 41(2005), 335-344.

${ }^{[8]}$ K. Goebel, and W. A. Kirk, Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990.

A. N. Kolmogorov and S. V. Fomin, Introductory Real Analysis, Dovor Publ. Inc, 1975.

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Published

01-10-2020

How to Cite

A. M. A. El-Sayed, and Y. M. Y. Omar. “On a Delay Volterra-Stieltjes Quadratic Integral Equation”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1392-8, doi:10.26637/MJM0804/0010.