Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness

Francis Paul Samuel

doi:https://doi.org/10.14445/22315373/IJMTT-V65I4P503

International Journal of Mathematics Trends and Technology

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Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P503

Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness

Francis Paul Samuel

Abstract

In this paper, we study the existence of mild solutions for quasilinear delay differential equations with nonlocalCauchy problem in Banach spaces. The results are established by using Hausdorff’s measure of noncompactness.

Keywords

Mild solution, nonlocal conditions,noncompact measures, semigroup theory

References

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Citation :

Francis Paul Samuel, "Quasilinear Delay Differential Equations with Nonlocal Conditions via Measures of Non Compactness," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 14-18, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P503