On a first-order differential system with initial and nonlocal boundary conditions-Reference-Cited by-同舟云学术

On a first-order differential system with initial and nonlocal boundary conditions

Published:2022-01-01 Issue:1 Volume:55 Page:277-296
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Ngoc Le Thi Phuong¹,Long Nguyen Thanh²³

Affiliation:

1. University of Khanh Hoa , 01 Nguyen Chanh Str. , Nha Trang City , Vietnam

2. Department of Mathematics and Computer Science, University of Science , 227 Nguyen Van Cu Str., Dist. 5 , Ho Chi Minh City , Vietnam

3. Vietnam National University , Ho Chi Minh City , Vietnam

Abstract

Abstract This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0012/pdf

Reference22 articles.

1. R. P. Agarwal, H. B. Thompson, and C. C. Tisdell, Three-point boundary value problems for second-order discrete equations, Comput. Math. Appl. 45 (2003), no. 6–9, 1429–1435.

2. R. P. Agarwal, M. Meehan, and D. O’ Regan, Fixed Point Theory and Applications, Cambridge University Press, Cambridge, 2009.

3. O. Bolojan, G. Infante, and R. Precup, Existence results for systems with nonlinear coupled nonlocal initial conditions, Math. Bohem. 140 (2015), no. 4, 371–384.

4. O. Bolojan-Nica, G. Infante, and R. Precup, Existence results for systems with coupled nonlocal initial conditions, Nonlinear Anal. 94 (2014), 231–242.

5. A. Boucherif, Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70 (2009), 364–371.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Regularization scheme for uncertain fuzzy differential equations: Analysis of solutions;Electronic Research Archive;2023

2. Some New Existence Results for Positive Periodic Solutions to First-Order Neutral Differential Equations with Variable Coefficients;Mathematics;2022-10-13