Perturbations of an abstract Euler--Poisson--Darboux equation
Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 363-369

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The stability of the uniform correctness of the Cauchy problem $$ \begin{gathered} u''(t)+\frac ktu'(t)=\mathbb Au(t),\qquad t>0,\qquad u(0)=u_0,\qquad u'(0)=0 \end{gathered} $$ for $k>0$ with respect to perturbations of the operator $\mathbb A$ is studied.
@article{MZM_1996_60_3_a3,
     author = {A. V. Glushak},
     title = {Perturbations of an abstract {Euler--Poisson--Darboux} equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {363--369},
     publisher = {mathdoc},
     volume = {60},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a3/}
}
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A. V. Glushak. Perturbations of an abstract Euler--Poisson--Darboux equation. Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 363-369. http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a3/