On Solvability Of The Integro-Differential Equations

Authors

Faez N. Ghaffoori, Department of Mathematics, College of Basic Education, Mustansiriyah University Baghdad -IraqFollow

Document Type

Article

Abstract

In this paper, we study the existence of solution to integro-differential equations in the space of Lebesgue-integrable on un-bounded interval after transformed to nonlinear integral functional equation, the used tool is the fixed point theorem due to Schauder with weak measure of non compactness, due to De-Blasi. In addition, we give an example which satisfies the conditions of our existence theorem.

Keywords

Caratheodory conditions, Space of Lebesgue integrable, Schauder fixed point theorem, Integrodifferential Equation

Recommended Citation

Ghaffoori, Faez N. (2022) "On Solvability Of The Integro-Differential Equations," Al-Qadisiyah Journal of Pure Science: Vol. 27 : No. 1 , Article 1.
Available at: https://doi.org/10.29350/qjps.2022.27.1.1466

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