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1993, Volume 29, Number 10  


Ordinary Differential Equations
On the Aǐzerman problem for third-order time-dependent systems
N. E. Barabanov
1659
Topological classification of a quadratic system with a four-fold singular point
N. I. Vulpe, I. V. Nikolaev
1669
Rational solutions of algebraic differential equations
V. N. Gorbuzov, V. S. Nemets
1675
A criterion for the linearizability of the Riccati matrix differential equation and some properties of its solutions
M. A. Egorov
1684
On the linear systems $L^pS$ with summable perturbations
R. Conti, N. A. Izobov, R. A. Prokhorova
1689
Linear systems of differential equations that are regular on $\mathbf R$
V. L. Kulik
1699
On the boundedness of trajectories of time-dependent phase systems
A. V. Savkin
1705

Partial Differential Equations
Approximate groups of transformations
V. A. Baikov, R. K. Gazizov, N. H. Ibragimov
1712
Transformation groups with a function parameter
T. Zh. Esirkepov
1733
Seven notes on group analysis
N. H. Ibragimov
1739
The Lie–Bäcklund group of the equations of nonlinear geometric optics
V. F. Kovalev, V. V. Pustovalov, S. I. Senashov
1751
On the structure of variational equations with symmetric operator $d/dt$
V. M. Savchin
1765
Group classification and invariant solutions of nonlinear polyharmonic equations
S. R. Svirshchevskii
1772
Higher integrals and symmetries of semi-Hamiltonian systems
M. B. Sheftel
1782

Integral Equations and Integral-Differential
Weak invariants of local groups of transformations
Yu. Yu. Berest
1796
Group analysis of the Vlasov kinetic equation. I
V. F. Kovalev, S. V. Krivenko, V. V. Pustovalov
1804

Short Communications
On the number of negative eigenvalues of the Schrödinger operator
Sh. A. Alimov, S. A. Safaev
1818
Inverse mean value theorem for $i$th order associated functions of the Laplace operator
O. V. Kashtanov
1822
Group analysis of equations of thermal self-interaction of laser radiation in a moving medium
A. G. Kudryavtsev
1825
On the Noethericity of a discrete convolution-type equation with almost stabilizing multipliers
A. I. Tuzik
1829
The Tricomi problem for the Lavrent'ev–Bitsadze system in a domain of a special form
T. V. Chekmarev
1832

Sergeǐ Aleksandrovich Lomov (obituary)
1834
 
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