an:01158903
Zbl 0898.34057
Glushak, A. V.
Perturbations of an abstract Euler-Poisson-Darboux equation
EN
Math. Notes 60, No. 3, 269-273 (1996); translation from Mat. Zametki 60, No. 3, 363-369 (1996).
00048625
1996
j
34G20 35Q05
stability; uniform correctness; Cauchy problem; perturbations
Summary: The stability of the uniform correctness of the Cauchy problem
\[
u''(t)+ {k\over t} u'(t)= \mathbb{A} u(t), \quad t>0,\;u(0) =u_0,\;u'(0)=0,
\]
for \(k>0\) is studied with respect to perturbations of the operator \(\mathbb{A}\).