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1998, Volume 34, Number 12  

Ordinary Differential Equations
Center conditions and cyclicity of certain cubic vector fields
Ч. Доличанин, V. G. Romanovsky, M. Stefanovich 		1587–1595
Construction of a linear Pfaff equation with arbitrarily given characteristics and lower characteristic sets
N. A. Izobov, A. S. Platonov 		1596–1603
On successive approximations of rapidly growing solutions of second-order Emden–Fowler systems
V. A. Rabtsevich 		1604–1608
Reduction theorems for differential equations that arise in the dynamics of systems with friction
I. A. Finogenko 		1609–1615

Partial Differential Equations
The first boundary value problem for a linear parabolic equation in the space $\mathbf R_+^{n+1}$
I. V. Denisov 		1616–1623
Exterior initial-boundary value problem for an evolution equation in a multiply connected domain
P. A. Krutitskii 		1624–1633
Existence of strong solutions of second-order semilinear parabolic systems
G. G. Laptev 		1634–1639
Auto-oscillations of a string with impulse feedback
A. D. Myshkis 		1640–1644
Unboundedness of the solution of an overdetermined problem
È. N. Sabziev 		1645–1648
The Riemann–Hilbert problem for the Lavrent'ev–Bitsadze system
A. P. Soldatov 		1649–1659
New natural ellipsoidal coordinates and normal forms of equations for wave functions
M. B. Tabanov 		1660–1665

Numerical methods
Vector additive schemes for second-order evolution equations
V. N. Abrashin, P. N. Vabishchevich 		1666–1674
Difference schemes for the transport equation. I
A. A. Samarskii, P. N. Vabishchevich 		1675–1685
Grid approximation of singularly perturbed systems of elliptic and parabolic equations with convective terms
G. I. Shishkin 		1686–1696

Short Communications
An almost periodic solution of a semilinear parabolic equation
A. T. Asanova 		1697–1698
On the existence and stability of quasiperiodic solutions of systems of second-order linear differential equations
A. K. Demenchuk 		1699–1700
On the asymptotic behavior of solutions of systems of linear differential equations with an irregular singularity
N. N. Ivanyuk 		1701–1702
On the existence of weakly normal bases of solutions of linear multidimensional completely integrable equations
E. K. Makarov 		1703–1705
On a certain case of the Cauchy problem
V. A. Sevastyanov 		1706–1707
On the nonuniqueness of solutions of the Cauchy problem for ordinary differential equations with a parameter
S. L. Sobolevskii 		1708–1710
Stability of solutions of a second-order equation with delay
V. A. Shcheglov 		1711–1713
 
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