Geodesic
On the Generalized Superstability of $n$th-Order Linear Differential Equations with Initial Conditions
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 243 .

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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.
DOI : 10.2298/PIM150129019H
Classification : 44A10;39B82 34A40;26D10
Keywords: Hyers--Ulam stability, superstability, generalized superstability, linear differential equations, initial conditions 
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     author = {Jinghao Huang and Qusuay H. Alqifiary and Yongjin Li},
     title = {On the {Generalized} {Superstability} of $n${th-Order} {Linear} {Differential} {Equations} with {Initial} {Conditions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {243 },
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     year = {2015},
     doi = {10.2298/PIM150129019H},
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Jinghao Huang; Qusuay H. Alqifiary; Yongjin Li. On the Generalized Superstability of $n$th-Order Linear Differential Equations with Initial Conditions. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 243 . doi : 10.2298/PIM150129019H. http://geodesic.mathdoc.fr/articles/10.2298/PIM150129019H/

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