Corrections to the Article Recurrent and Almost Periodic Limit Trajectories of Nonautonomous Systems of Differential Equations (DAN, Vol. 161, No. 1, 1965)

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Submitted 1966 | SovietRxiv: ru-196601.36067 | Translated from Russian

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I. S. Iokhvidov. On signatures of Toeplitz forms . . . . . . . . . . . . 1258
Ludmila Keldysh. Topological imbeddings and pseudoisotopy . . . . . . . 1262
V. P. Kompaniets, A. V. Chernavskii. Equivalence of two classes of sphere mappings . . . . . . . . . . . . . . . . . . . . . . . 1266
M. G. Krein, Sh. N. Saakian. Some new relationships in the theory of the resolvents of Hermite operators . . . . . . . . . . . . . . . . 1269
V. G. Kukharev. The critical determinant of the region \(|x|^p+|y|^p \leqslant 1\) . . . . . . . . . . . . . . . . . . . . 1273
K. A. Rodosskii. Discrete periodic processes . . . . . . . . . . . . . . 1276
P. M. Tamrazov. Some problems of conformal mapping which generate quadratic differentials with five distinct poles . . . . . . . . . . 1279
Iu. N. Khaimulin. Certain properties of \(\{k;n\}_q\)-arcs in Galois planes . . 1281
V. I. Shevchenko. Hilbert’s problem for a holomorphic vector . . . . . . 1285

CYBERNETICS AND THE REGULATION THEORY

I. I. Piatetskii-Shapiro, V. A. Volkonskii, L. V. Levina, A. Pomanskii. An iteration method of solving integer programming problems . . . . . . 1289
E. V. Fudim. Pneumatic computation technique of a discontinuous action . . 1293

FLUID MECHANICS

N. I. Buleev, V. S. Petrishchev. A numerical method of solving hydrodynamics equations in the case of a two-dimensional flow . . . . . . . 1296

MATHEMATICAL PHYSICS

V. B. Gostev, A. R. Frenkin. One-nucleon states in a model with a fixed source . . . . . . . . . . . . . . . . . . . . . . . . 1300

PHYSICS

T. M. Zimkina, V. A. Fomichev. Absorption spectrum of sulphur hexafluoride in the region of ultra-soft X-ray emission . . . . . . . . . . 1304
A. P. Komar, V. P. Denisov, L. A. Kulchitskii. Investigation of the photosplitting of O\(^{16}\) nucleus . . . . . . . . . . . . . . . . 1307
O. B. Firsov. Glancing angle reflection of fast ions by a dense medium . . . 1311
I. G. Fikhtenholz. Gravitation equations and coordinate conditions in conformal space . . . . . . . . . . . . . . . . . . . . . . 1314

TECHNICAL PHYSICS

A. R. Kutsar, E. G. Poniatovskii. Compressibility of chromium and its P—T-diagram . . . . . . . . . . . . . . . . . . . . . . . 1318

CRYSTALLOGRAPHY

V. I. Burdina. The main computation formulae of the crystal structure analysis as expressed through the parameters of the symmetry groups . . . 1320
A. Iu. Malevskii. On isomorphic thallium presence in galenite . . . . . . 1324

CORRECTIONS

In my note (V. M. Millionshchikov, “Recurrent and almost periodic limiting trajectories of nonautonomous systems of differential equations”), published in DAN, vol. 161, no. 1, 1965, Definition 3 on p. 44 should read as follows:

A solution \(x(t)\) \((t \geq t_0)\) will be called perfectly stable in the sense of Lyapunov if, for every neighborhood of zero \(U \subset L\) and every \(T\), there exist a neighborhood of zero \(V \subset L\) and a number \(\bar t\) such that, if \(x(t') - x(t'') \in V\) and \(t' \geq \bar t,\ t'' \geq \bar t\), then \(x(t'+t)-x(t''+t) \in U\) for all \(t \geq T\).

In my note (V. M. Millionshchikov, “Asymptotics of solutions of linear systems with small perturbations”), published in DAN, vol. 162, no. 2, 1965:

1) on p. 266, line 10 from the bottom, where \(C_1\) is printed, one should read \(C_1=\mathrm{const}\cdot v_1(t)\);

2) on p. 267, line 11 from the bottom, where

\[ \int^\infty \tau^{m-1}g(\tau)\,d\tau \]

is printed, one should read

\[ \int^\infty \tau^{m-1}g(\tau)\,d\tau < \infty. \]

V. M. Millionshchikov

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Submission history

Corrections to the Article Recurrent and Almost Periodic Limit Trajectories of Nonautonomous Systems of Differential Equations (DAN, Vol. 161, No. 1, 1965)