Open AccessExistence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type
Author(s) -
Sergey Smirnov
Publication year - 2021
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2021.26.23932
Subject(s) - mathematics , fixed point theorem , boundary value problem , mathematical proof , order (exchange) , mathematical analysis , type (biology) , fixed point , picard–lindelöf theorem , value (mathematics) , third order , pure mathematics , geometry , law , ecology , statistics , finance , economics , biology , political science
The existence of a unique solution for a third-order boundary value problem with integral condition is proved in several ways. The main tools in the proofs are the Banach fixed point theorem and the Rus’s fixed point theorem. To compare the applicability of the obtained results, some examples are considered.