Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

Sergey Smirnov

doi:10.12775/TMNA.2022.074

Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

Sergey Smirnov^*

^*Šī darba korespondējošais autors

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

3 Atsauces (Scopus)

Kopsavilkums

We prove the existence of at least one sign-changing solution for a third-order nonlocal boundary value problem by applying Leray-Schauder Continuation Principle. To illustrate the applicability of the obtained re-sults, we consider an example.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	377-384
Lapu skaits	8
Žurnāls	Topological Methods in Nonlinear Analysis
Sējums	62
Izdevuma numurs	1
DOIs	https://doi.org/10.12775/TMNA.2022.074
Publikācijas statuss	Publicēts - sept. 2023

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title = "Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type",

abstract = "We prove the existence of at least one sign-changing solution for a third-order nonlocal boundary value problem by applying Leray-Schauder Continuation Principle. To illustrate the applicability of the obtained re-sults, we consider an example.",

keywords = "existence of sign-changing solutions, Greens function, integral boundary condition, Leray\{Schauder Conti-nuation Principle, Third-order nonlinear boundary value problems",

author = "Sergey Smirnov",

note = "Publisher Copyright: {\textcopyright} 2023 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toru{\'n}.",

year = "2023",

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doi = "10.12775/TMNA.2022.074",

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AB - We prove the existence of at least one sign-changing solution for a third-order nonlocal boundary value problem by applying Leray-Schauder Continuation Principle. To illustrate the applicability of the obtained re-sults, we consider an example.

KW - existence of sign-changing solutions

KW - Greens function

KW - integral boundary condition

KW - Leray{Schauder Conti-nuation Principle

KW - Third-order nonlinear boundary value problems

UR - https://www.scopus.com/pages/publications/85186946786

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DO - 10.12775/TMNA.2022.074

M3 - Article

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Existence Of Sign-Changing Solutions For A Third-Order Boundary Value Problem With Nonlocal Conditions Of Integral Type

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