Lyapunov's Type Inequalities for Fourth-Order Differential Equations
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-04
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
For a fourth-order differential equation, we will establish some new Lyapunov-type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives.
The main results will be proved by making use of Hardy’s inequality and some generalizations of Opial-Wirtinger-type inequalities involving higher-order derivatives.
Some examples are considered to illustrate the main results.
American Psychological Association (APA)
Saker, Samir H.. 2012. Lyapunov's Type Inequalities for Fourth-Order Differential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-498799
Modern Language Association (MLA)
Saker, Samir H.. Lyapunov's Type Inequalities for Fourth-Order Differential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-498799
American Medical Association (AMA)
Saker, Samir H.. Lyapunov's Type Inequalities for Fourth-Order Differential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-498799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498799