EXİSTENCE AND UNİQUENESS OF THE SOLUTİON OF A SECONDORDER NONLİNEAR DİFFERENTİAL EQUATİON WİTH NONLOCALCONDİTİONS

In the presented article, the existence and uniqueness of the solution for nonlinear second-order differential equations are investigated.The uniqueness of the solution is based on Banach's fixed-point principle, while the existence is based on Krasnoselskii's fixed point theorem.

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Publication Details

Journal
Proceedings of the Institute of Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.30546/2225-0530.14.1.2025.0158
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

EXİSTENCE AND UNİQUENESS OF THE SOLUTİON OF A SECONDORDER NONLİNEAR DİFFERENTİAL EQUATİON WİTH NONLOCALCONDİTİONS

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Proceedings of the Institute of Applied Mathematics
Differential Equations and Boundary Problems
article

EXİSTENCE AND UNİQUENESS OF THE SOLUTİON OF A SECONDORDER NONLİNEAR DİFFERENTİAL EQUATİON WİTH NONLOCALCONDİTİONS

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Abstract

In the presented article, the existence and uniqueness of the solution for nonlinear second-order differential equations are investigated.The uniqueness of the solution is based on Banach's fixed-point principle, while the existence is based on Krasnoselskii's fixed point theorem.

Proceedings of the Institute of Applied Mathematics
Azerbaijan Technical University (AZ)
Reduced inequalities
Openalex Percentile: Top 74%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
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EXİSTENCE AND UNİQUENESS OF THE SOLUTİON OF A SECONDORDER NONLİNEAR DİFFERENTİAL EQUATİON WİTH NONLOCALCONDİTİONS · Proceedings of the Institute of Applied Mathematics (2025) | TGRS Research Map | TGRS