Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces

Author

Sanket Tikare
Martin Bohner, Missouri University of Science and TechnologyFollow
Bipan Hazarika
Ravi P. Agarwal

Abstract

The objective of this paper is to study the existence of solutions for two classes of dynamic initial value problems in Banach spaces. Our approach is based on the concept of measure of noncompactness and fixed point theorems of Sadovskiĭ and Mönch. We provide some new examples to illustrate our results.

Recommended Citation

S. Tikare et al., "Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces," Rendiconti del Circolo Matematico di Palermo, Springer, Nov 2021.

The definitive version is available at https://doi.org/10.1007/s12215-021-00674-y

Department(s)

Mathematics and Statistics

Comments

Science for Equity, Empowerment and Development Division, Grant 935-17102019

Keywords and Phrases

Dynamic Equations; Fixed Point Theorems; Local And Nonlocal Conditions; Measure Of Noncompactness

International Standard Serial Number (ISSN)

1973-4409; 0009-725X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Springer, All rights reserved.

Publication Date

08 Nov 2021