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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 11 | Year 2021 | Article Id. IJMTT-V67I11P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I11P503

On an integro differential equation with parameter


A.M.A. EL-Sayed, M.Sh. Mohamed, A. Basheer
Abstract

In this paper, we study the existence of at least one and exact one solution x for an initial value problem of an implicit differential equation with parameter in the two classes x ε C1[0,T] and x ε AC[0,T]. The maximal and minimal solution will be proved. The continuous dependence of the unique solution will be studied.

Keywords
Implicit differential equation, existence of solutions, continuous dependence, maximal and minimal solution.
References

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Citation :

A.M.A. EL-Sayed, M.Sh. Mohamed, A. Basheer, "On an integro differential equation with parameter," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 11, pp. 20-30, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I11P503

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