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2014 The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions
Pedro Almenar, Lucas Jódar
Abstr. Appl. Anal. 2014: 1-17 (2014). DOI: 10.1155/2014/126713

Abstract

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.

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Pedro Almenar. Lucas Jódar. "The Distance between Points of a Solution of a Second Order Linear Differential Equation Satisfying General Boundary Conditions." Abstr. Appl. Anal. 2014 1 - 17, 2014. https://doi.org/10.1155/2014/126713

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021761
MathSciNet: MR3212399
Digital Object Identifier: 10.1155/2014/126713

Rights: Copyright © 2014 Hindawi

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