Lyapunov's type inequalities for fourth-order differential equations (Q437628)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lyapunov's type inequalities for fourth-order differential equations |
scientific article; zbMATH DE number 6058160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov's type inequalities for fourth-order differential equations |
scientific article; zbMATH DE number 6058160 |
Statements
Lyapunov's type inequalities for fourth-order differential equations (English)
0 references
18 July 2012
0 references
Summary: 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.
0 references
0 references
0 references
0 references
0 references
