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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1996 Volume 60, Issue 3, Pages 363–369 (Mi mzm1836)

This article is cited in 15 papers

Perturbations of an abstract Euler–Poisson–Darboux equation

A. V. Glushak

Voronezh State Technical University

Abstract: 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.

UDC: 517.983

Received: 07.02.1995

DOI: 10.4213/mzm1836


 English version:
Mathematical Notes, 1996, 60:3, 269–273

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© Steklov Math. Inst. of RAS, 2026