Existence of Solutions to Quasilinear Delay Differential
Equations with Nonlocal Conditions

Francis Paul Samuel; Tumaini Lisso; Kayiita Zachary

doi:https://doi.org/10.14445/22315373/IJMTT-V8P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 8 | Number 1 | Year 2014 | Article Id. IJMTT-V8P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V8P501

Existence of Solutions to Quasilinear Delay Differential Equations with Nonlocal Conditions

Francis Paul Samuel, Tumaini Lisso, Kayiita Zachary

Abstract

We prove the existence and uniqueness of mild and classical solution to a quasilinear delay differential equation with nonlocal condition. The results are obtained by using C0-semigroup and the Banach fixed point theorem.

Keywords

Semigroup; mild solution; Banach fixed point theorem

References

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Citation :

Francis Paul Samuel, Tumaini Lisso, Kayiita Zachary, "Existence of Solutions to Quasilinear Delay Differential Equations with Nonlocal Conditions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 8, no. 1, pp. 1-7, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V8P501