Tenth order boundary value problem solution existence by fixed point theorem

Tenth order boundary value problem solution existence by fixed point theorem

In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, compleme...

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Veröffentlicht in:Journal of inequalities and applications 2020-06, Vol.2020 (1), p.1-11, Article 166
Hauptverfasser: Fabiano, Nicola, Nikolić, Nebojša, Shanmugam, Thenmozhi, Radenović, Stojan, Čitaković, Nada
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Boundary value problem
Boundary value problems
Existence theorems
Fixed point
Fixed points (mathematics)
Green function
Green's functions
Leray–Schauder
Mathematics
Mathematics and Statistics
Mathematics, Applied
Physical Sciences
Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas
Science & Technology
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Beschreibung
Zusammenfassung:In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, complements, and enriches several results in the existing literature.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02429-2