Lyapunov-type inequalities for fourth-order boundary value problems

This paper is concerned with some two-point boundary value problems for fourth-order linear differential equations. Our study is based on the absolute maximums of Green’s functions corresponding to two-point boundary value problems. Thus, the best constants of Lyapunov-type inequalities for the prob...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2019-04, Vol.113 (2), p.615-625
Hauptverfasser:	Aktaş, Mustafa Fahri, Çakmak, Devrim, Ahmetoğlu, Abdullah
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	This paper is concerned with some two-point boundary value problems for fourth-order linear differential equations. Our study is based on the absolute maximums of Green’s functions corresponding to two-point boundary value problems. Thus, the best constants of Lyapunov-type inequalities for the problems are proved. To the best of our knowledge, there is no paper dealing with Lyapunov-type inequalities for two-point boundary value problems in this direction. In addition, some applications of the obtained inequalities are given.
ISSN:	1578-7303 1579-1505
DOI:	10.1007/s13398-018-0495-y