Existence results for systems with nonlinear coupled nonlocal initial conditions

Title:

Existence results for systems with nonlinear coupled nonlocal initial conditions

Creator:

Bolojan, Octavia, Infante, Gennaro, and Precup, Radu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7bf51a41-d194-419a-b83d-a63c50d987f1
uuid:7bf51a41-d194-419a-b83d-a63c50d987f1
doi:10.21136/MB.2015.144455

Subject:

nonlinear differential system, nonlocal boundary condition, nonlinear boundary condition, fixed point, vector-valued norm, and matrix convergent to zero

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples are given to illustrate the theory.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

371-384

Source:

Mathematica bohemica | 2015 Volume:140 | Number:4

Harvested from:

CDK

Metadata only:

false