Geodesic
Coefficient stability of differential-operator equations and operator-difference schemes
Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 103-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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Estimates of stability with perturbed operator of Cauchy problem, right side and initial condition for evolutionary equations in Hilbert spaces have been obtained. A priori estimates of strong stability for two-layered operator-difference schemes are brought. Such estimates are consistent with corespondent ones for differential-operator equation. 
@article{MM_1998_10_8_a8,
     author = {A. A. Samarskii and P. N. Vabishchevich and P. P. Matus},
     title = {Coefficient stability of differential-operator equations and operator-difference schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--113},
     year = {1998},
     volume = {10},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_8_a8/}
}
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A. A. Samarskii; P. N. Vabishchevich; P. P. Matus. Coefficient stability of differential-operator equations and operator-difference schemes. Matematičeskoe modelirovanie, Tome 10 (1998) no. 8, pp. 103-113. http://geodesic.mathdoc.fr/item/MM_1998_10_8_a8/