Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem

Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface. Methods: A fixed point theorem in the Leray...

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Autores principales:	Nicola Fabiano, Vahid Parvaneh
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2021
Materias:	fixed point boundary value problem leray–schauder fixed point theorem Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/845c175b1ccc4dc28112fcbda83197ca
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spelling	oai:doaj.org-article:845c175b1ccc4dc28112fcbda83197ca2021-12-02T14:50:46ZExistence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem10.5937/vojtehg69-297030042-84692217-4753https://doaj.org/article/845c175b1ccc4dc28112fcbda83197ca2021-04-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692102323F.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface. Methods: A fixed point theorem in the Leray–Schauder form has been used to establish the existence of a fixed point in the problem. Results: The existence of a solution has been shown for an arbitrary order of the problem. Some practical examples are proposed. Conclusions: The boundary problem has a solution for an arbitrary order n. Nicola FabianoVahid ParvanehUniversity of Defence in Belgradearticlefixed pointboundary value problemleray–schauder fixed point theoremMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 2, Pp 323-337 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fixed point boundary value problem leray–schauder fixed point theorem Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	fixed point boundary value problem leray–schauder fixed point theorem Military Science U Engineering (General). Civil engineering (General) TA1-2040 Nicola Fabiano Vahid Parvaneh Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
description	Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface. Methods: A fixed point theorem in the Leray–Schauder form has been used to establish the existence of a fixed point in the problem. Results: The existence of a solution has been shown for an arbitrary order of the problem. Some practical examples are proposed. Conclusions: The boundary problem has a solution for an arbitrary order n.
format	article
author	Nicola Fabiano Vahid Parvaneh
author_facet	Nicola Fabiano Vahid Parvaneh
author_sort	Nicola Fabiano
title	Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
title_short	Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
title_full	Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
title_fullStr	Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
title_full_unstemmed	Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem
title_sort	existence of a solution for a general order boundary value problem using the leray-schauder fixed point theorem
publisher	University of Defence in Belgrade
publishDate	2021
url	https://doaj.org/article/845c175b1ccc4dc28112fcbda83197ca
work_keys_str_mv	AT nicolafabiano existenceofasolutionforageneralorderboundaryvalueproblemusingthelerayschauderfixedpointtheorem AT vahidparvaneh existenceofasolutionforageneralorderboundaryvalueproblemusingthelerayschauderfixedpointtheorem
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Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem

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