Publication

Properties of solutions of fourth-order differential equations with boundary conditions

Saker, Samir H
; 
Agarwal, Ravi P
; 
O’Regan, Donal
Identifiers
http://hdl.handle.net/10379/13766
 https://doi.org/10.13025/28405
Publication Date
2013-01-01
Keywords
fourth-order differential equations, bending of beams, opial and wirtinger inequalities, inequalities, criteria, zeros
Type
Article
Downloads
Show all metadata
Citation
Saker, Samir H; Agarwal, Ravi P; O’Regan, Donal (2013). Properties of solutions of fourth-order differential equations with boundary conditions. Journal of Inequalities and Applications ,
Abstract
In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.
Funder
Publisher
Springer Nature
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
Collections
Externally hosted open access publications with University of Galway authors (2)