Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions-Reference-Cited by-同舟云学术

Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions

Published:2021-02-05 Issue:1 Volume:5 Page:15
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Mardanov Misir J.,Sharifov Yagub A.,Gasimov Yusif S.^ORCID,Cattani Carlo^ORCID

Abstract

This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral boundary conditions. A suitable Green function was constructed for the first time in order to reduce this problem into a corresponding integral equation. So that by using the Banach contraction mapping principle (BCMP) and Schaefer’s fixed point theorem (SFPT) on the integral equation, we can show that the solution of the multipoint problem exists and it is unique.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/5/1/15/pdf

Reference34 articles.

1. Numerical solution to optimal control problems with multipoint and integral conditions;Abdullayev;Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerbaijan,2018

2. Generalized quasilinearization method for a first order differential equation with integral boundary condition;Ahmad;Dyn. Contin. Discret. Impuls. Syst. Ser. A Math. Anal.,2005

3. An approach for solving nonlinearly loaded problems for linear ordinary differential equations;Aida-zade;Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerbaijan,2018

4. Optimal control problem for impulsive systems with integral boundary conditions;Ashyralyev;AIP Conf. Proc.,2012

5. Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions;Belarbi;Arch. Math.,2008

Cited by 14 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. On the solutions of a nonlinear system of q-difference equations;Boundary Value Problems;2024-07-25

2. Existence results for Langevin equations involving generalized Liouville–Caputo fractional derivatives with non-local boundary conditions;Alexandria Engineering Journal;2024-03

3. A STUDY OF ONE APPROACH TO SOLUTION OF THE FIRST-ORDER NON-LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTIPOINT BOUNDARY CONDITIONS;Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan;2024

4. On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions;Alexandria Engineering Journal;2024-01

5. Study of the modulational instability and miscellaneous soliton for metamaterials via three powerful schemes;Journal of Nonlinear Optical Physics & Materials;2023-12-27