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New bounds for the solutions of second order linear differential equations

Authors :
Almenar, Pedro
Jódar, Lucas
Source :
Computers & Mathematics with Applications. Jan2010, Vol. 59 Issue 1, p468-485. 18p.
Publication Year :
2010

Abstract

Abstract: This paper presents a new method to construct explicit bounds for the solutions of second order linear differential equations of the type ,, , which complements the method described in recent papers of the authors. The method lies in the use of Beesack’s version of Opial’s inequality. Some results on asymptotics of the solution for the case are also included. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08981221
Volume :
59
Issue :
1
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
47150912
Full Text :
https://doi.org/10.1016/j.camwa.2009.06.010