Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations

Aleksejs Antoņuks; Sergejs Smirnovs

doi:10.14232/ejqtde.2024.1.41

Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations

Aleksejs Antoņuks^*
, Sergejs Smirnovs

^*Šī darba korespondējošais autors

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

1 Atsauce (Scopus)

Kopsavilkums

The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel’skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.

Oriģinālvaloda	Angļu
Raksta numurs	41
Žurnāls	Electronic Journal of Qualitative Theory of Differential Equations
Sējums	2024
Izdevuma numurs	41
DOIs	https://doi.org/10.14232/ejqtde.2024.1.41
Publikācijas statuss	Publicēts - 2024

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10.14232/ejqtde.2024.1.41

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title = "Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations",

abstract = "The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel{\textquoteright}skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.",

keywords = "boundary value problem, interval of the existence of solutions, Krasnosel{\textquoteright}skiĭ–Precup fixed point theorem, positive solutions, system of second-order ODEs",

author = "Aleksejs Antoņuks and Sergejs Smirnovs",

year = "2024",

doi = "10.14232/ejqtde.2024.1.41",

language = "English",

volume = "2024",

journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

number = "41",

}

Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations. / Antoņuks, Aleksejs ; Smirnovs, Sergejs.
(gadā): Electronic Journal of Qualitative Theory of Differential Equations, Sēj. 2024, Nr. 41, 41, 2024.

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

TY - JOUR

T1 - Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations

AU - Antoņuks, Aleksejs

AU - Smirnovs, Sergejs

PY - 2024

Y1 - 2024

N2 - The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel’skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.

AB - The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel’skiĭ–Precup fixed point theorem is used to determine this interval theoretically. For Dirichlet boundary conditions theoretical result is compared with result obtained numerically.

KW - boundary value problem

KW - interval of the existence of solutions

KW - Krasnosel’skiĭ–Precup fixed point theorem

KW - positive solutions

KW - system of second-order ODEs

UR - https://www.math.u-szeged.hu/ejqtde/p11037.pdf

UR - https://www.scopus.com/pages/publications/85205478870

U2 - 10.14232/ejqtde.2024.1.41

DO - 10.14232/ejqtde.2024.1.41

M3 - Article

SN - 1417-3875

VL - 2024

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

IS - 41

M1 - 41

ER -

Interval of the existence of positive solutions for a boundary value problem for system of three second-order differential equations

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