A Note on an Abstract Nonlinear delay differential Equation with nonlocal condition ia A new three steps iteration

Authors

  • Rupesh T. More
  • Pankaj M. Sonawane

Keywords:

Existence, Existence, uniqueness and continuous dependence, uniqueness and continuous dependence, abstract differential equation with finite delay, abstract differential equation with finite delay, new three steps iteration method, new three steps iteration method

Abstract

In this paper, we study the existence, uniqueness and other properties of solutions of an abstract nonlinear delay differential equation with nonlocal condition. The tool employed in the analysis is based on application of new three steps iteration. New three steps iteration method has equally important contribution to study various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein.A new three steps iteration process introduced by V. Karakaya,Y. Atalan, K. Dogan, and NH. Bouzara [8]..

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Published

2025-09-10

How to Cite

1.
T. More R, M. Sonawane P. A Note on an Abstract Nonlinear delay differential Equation with nonlocal condition ia A new three steps iteration. J Neonatal Surg [Internet]. 2025Sep.10 [cited 2025Sep.21];13(1):1103-20. Available from: https://jneonatalsurg.com/index.php/jns/article/view/9116

Issue

Vol. 13 (2024): Journal of Neonatal Surgery

Section

Original Article

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