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

Author:

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

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

Reference34 articles.

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