Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

Yongjin Li; Jinghao Huang

Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

Yongjin Li
, Jinghao Huang

Sun Yat-Sen University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation y^″+αy^′(t)+βy = 0 or y^″+αy^′(t)+βy = f(t), then there exists an exact solution of the differential equation near to y.

Original language	English
Article number	184
Journal	Electronic Journal of Differential Equations
Volume	2013
State	Published - 2013
Externally published	Yes

Keywords

Differential equation
Hyers-Ulam stability

Cite this

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title = "Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces",

abstract = "We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation y″+αy′(t)+βy = 0 or y″+αy′(t)+βy = f(t), then there exists an exact solution of the differential equation near to y.",

keywords = "Differential equation, Hyers-Ulam stability",

author = "Yongjin Li and Jinghao Huang",

year = "2013",

language = "英语",

volume = "2013",

journal = "Electronic Journal of Differential Equations",

issn = "1550-6150",

publisher = "Texas State University - San Marcos",

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TY - JOUR

T1 - Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

AU - Li, Yongjin

AU - Huang, Jinghao

PY - 2013

Y1 - 2013

N2 - We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation y″+αy′(t)+βy = 0 or y″+αy′(t)+βy = f(t), then there exists an exact solution of the differential equation near to y.

AB - We prove the Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces. That is, if y is an approximate solution of the differential equation y″+αy′(t)+βy = 0 or y″+αy′(t)+βy = f(t), then there exists an exact solution of the differential equation near to y.

KW - Differential equation

KW - Hyers-Ulam stability

UR - https://www.scopus.com/pages/publications/84882801879

M3 - 文章

AN - SCOPUS:84882801879

SN - 1550-6150

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 184

ER -

Hyers-Ulam stability of linear second-order differential equations in complex Banach spaces

Abstract

Keywords

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