Hyers-Ulam stability for second-order linear differential equations with boundary conditions

We prove the Hyers-Ulam stability of linear differential equations of second-order with boundary conditions or with initial conditions. That is, if y is an approximate solution of the differential equation $y''+ eta (x) y = 0$ with $y(a) = y(b) =0$, then there exists an exact solution...

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Main Authors:	Pasc Gavruta, Soon-Mo Jung, Yongjin Li
Format:	Article
Language:	English
Published:	Texas State University 2011-06-01
Series:	Electronic Journal of Differential Equations
Subjects:	Hyers-Ulam stability, differential equation
Online Access:	http://ejde.math.txstate.edu/Volumes/2011/80/abstr.html

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spelling	doaj-1ddb37736b6b42d0bbf8be6517b1067e2020-11-24T22:20:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-06-01201180,15Hyers-Ulam stability for second-order linear differential equations with boundary conditionsPasc GavrutaSoon-Mo JungYongjin LiWe prove the Hyers-Ulam stability of linear differential equations of second-order with boundary conditions or with initial conditions. That is, if y is an approximate solution of the differential equation $y''+ eta (x) y = 0$ with $y(a) = y(b) =0$, then there exists an exact solution of the differential equation, near y. http://ejde.math.txstate.edu/Volumes/2011/80/abstr.htmlHyers-Ulam stability, differential equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pasc Gavruta Soon-Mo Jung Yongjin Li
spellingShingle	Pasc Gavruta Soon-Mo Jung Yongjin Li Hyers-Ulam stability for second-order linear differential equations with boundary conditions Electronic Journal of Differential Equations Hyers-Ulam stability, differential equation
author_facet	Pasc Gavruta Soon-Mo Jung Yongjin Li
author_sort	Pasc Gavruta
title	Hyers-Ulam stability for second-order linear differential equations with boundary conditions
title_short	Hyers-Ulam stability for second-order linear differential equations with boundary conditions
title_full	Hyers-Ulam stability for second-order linear differential equations with boundary conditions
title_fullStr	Hyers-Ulam stability for second-order linear differential equations with boundary conditions
title_full_unstemmed	Hyers-Ulam stability for second-order linear differential equations with boundary conditions
title_sort	hyers-ulam stability for second-order linear differential equations with boundary conditions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2011-06-01
description	We prove the Hyers-Ulam stability of linear differential equations of second-order with boundary conditions or with initial conditions. That is, if y is an approximate solution of the differential equation $y''+ eta (x) y = 0$ with $y(a) = y(b) =0$, then there exists an exact solution of the differential equation, near y.
topic	Hyers-Ulam stability, differential equation
url	http://ejde.math.txstate.edu/Volumes/2011/80/abstr.html
work_keys_str_mv	AT pascgavruta hyersulamstabilityforsecondorderlineardifferentialequationswithboundaryconditions AT soonmojung hyersulamstabilityforsecondorderlineardifferentialequationswithboundaryconditions AT yongjinli hyersulamstabilityforsecondorderlineardifferentialequationswithboundaryconditions
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Hyers-Ulam stability for second-order linear differential equations with boundary conditions

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