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...

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Bibliographic Details
Published 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
Main Authors: Aktaş, Mustafa Fahri, Çakmak, Devrim, Ahmetoğlu, Abdullah
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
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Summary: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