The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper presents a method to obtain lower and upper bounds for the minimum distance between points a and b of the solution of the second order linear differential equation y′′+q(x)y=0 satisfying general separated boundary conditions of the type a11y(a)+a12y′(a)=0 and a21y(b)+a22y′(b)=0.
The method is based on the recursive application of a linear operator to certain functions, a recursive application that makes these bounds converge to the exact distance between a and b as the recursivity index grows.
The method covers conjugacy and disfocality as particular cases.
American Psychological Association (APA)
Almenar, Pedro& Jódar, Lucas. 2014. The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1013301
Modern Language Association (MLA)
Almenar, Pedro& Jódar, Lucas. The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions. Abstract and Applied Analysis No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1013301
American Medical Association (AMA)
Almenar, Pedro& Jódar, Lucas. The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1013301
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013301