On the generalized superstability of NTH order linear differential equations with initial conditions

Jinghao Huang; Qusuay H. Alqifiary; Yongjin Li

doi:10.2298/PIM150129019H

On the generalized superstability of NTH order linear differential equations with initial conditions

Jinghao Huang
, Qusuay H. Alqifiary
, Yongjin Li

Sun Yat-Sen University
University of Belgrade
University of Al-Qadisiya

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

2 Scopus citations

Abstract

We establish the generalized superstability of differential equations of nth-order with initial conditions and investigate the generalized superstability of differential equations of second order in the form of y''(x) + p(x)y'(x)+q(x)y(x) = 0 and the superstability of linear differential equations with constant coefficients with initial conditions.

Original language	English
Pages (from-to)	243-249
Number of pages	7
Journal	Publications de l'Institut Mathematique
Volume	98
Issue number	112
DOIs	https://doi.org/10.2298/PIM150129019H
State	Published - 2015
Externally published	Yes

Keywords

Generalized superstability
Hyers-ulam stability
Initial conditions
Linear differential equations
Superstability

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10.2298/PIM150129019H

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title = "On the generalized superstability of NTH order linear differential equations with initial conditions",

abstract = "We establish the generalized superstability of differential equations of nth-order with initial conditions and investigate the generalized superstability of differential equations of second order in the form of y''(x) + p(x)y'(x)+q(x)y(x) = 0 and the superstability of linear differential equations with constant coefficients with initial conditions.",

keywords = "Generalized superstability, Hyers-ulam stability, Initial conditions, Linear differential equations, Superstability",

author = "Jinghao Huang and Alqifiary, \{Qusuay H.\} and Yongjin Li",

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doi = "10.2298/PIM150129019H",

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AU - Alqifiary, Qusuay H.

AU - Li, Yongjin

PY - 2015

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N2 - We establish the generalized superstability of differential equations of nth-order with initial conditions and investigate the generalized superstability of differential equations of second order in the form of y''(x) + p(x)y'(x)+q(x)y(x) = 0 and the superstability of linear differential equations with constant coefficients with initial conditions.

AB - We establish the generalized superstability of differential equations of nth-order with initial conditions and investigate the generalized superstability of differential equations of second order in the form of y''(x) + p(x)y'(x)+q(x)y(x) = 0 and the superstability of linear differential equations with constant coefficients with initial conditions.

KW - Generalized superstability

KW - Hyers-ulam stability

KW - Initial conditions

KW - Linear differential equations

KW - Superstability

UR - https://www.scopus.com/pages/publications/84949229699

U2 - 10.2298/PIM150129019H

DO - 10.2298/PIM150129019H

M3 - 文章

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JO - Publications de l'Institut Mathematique

JF - Publications de l'Institut Mathematique

IS - 112

ER -

On the generalized superstability of NTH order linear differential equations with initial conditions

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Keywords

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