EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 243–249 (2015)

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On the generalized superstability of $n$th-order linear differential equations with initial conditions

Jinghao Huang, Qusuay H. Alqifiary, Yongjin Li

Department of Mathematics, Sun Yat-sen University, Guangzhou, China; Department of Mathematics, University of Belgrade, Belgrade, Serbia; Computer Science and Mathematics College, University of Al-Qadisiyah, Al-Diwaniya, Iraq

Abstract: We establish the generalized superstability of differential equations of $n$th-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: Hyers–Ulam stability; superstability; generalized superstability; linear differential equations; initial conditions

Classification (MSC2000): 44A10;39B82; 34A40;26D10

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Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

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