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1990, Volume 26, Number 9  


Ordinary Differential Equations
The comparison method for differential equations with impulse action
M. U. Akhmetov, N. A. Perestyuk
1475
Some identities for eigenvalues and eigenfunctions of a class of fourth-order differential operators
R. Sh. Bakuradze, I. V. Stankevich
1483
Positivity of the Cauchy function and stability of linear differential equations with aftereffect
L. M. Berezanskii
1490
An analogue of the Newton diagram method for a class of singularly perturbed differential equations. II
G. S. Zhukova
1500
“Hereditary” properties of systems of operator equations
Yu. F. Korobeinik
1510
Optimal trajectories of differential inclusions in a problem with constraints on the ends of the trajectories
L. I. Minchenko
1521
Testing the transversality condition by the methods of symbolic dynamics
G. S. Osipenko
1528
A spectral problem that is connected with an equation of viscous sound
V. N. Pyvovarchyk
1536
A class of linear differential and discrete games between groups of pursuers and evaders
N. Yu. Satimov, M. Sh. Mamatov
1541
Estimates for the solutions of an ordinary differential equation with a parameter and functional conditions
S. Ya. Yakubov, È. Ch. Ibragimov
1551

Partial Differential Equations
On an inverse problem for the Laplace operator with continuous potential
V. V. Dubrovskii, A. V. Nagornyi
1563
A three-point mixed problem with an integral condition with respect to the space variable for second-order parabolic equations
A. V. Kartynnik
1568
The Tikhonov problem for second-order linear parabolic equations
Ya. S. Kushitsky
1576
Boundary value problems for systems of third-order differential equations
V. A. Malovichko
1585
Some integral expansions of an arbitrary function in Legendre function
A. I. Moshinskii
1589
Solvability of linear differential equations in scales of Roumieu spaces that are constructed by means of a given unbounded linear operator
V. I. Nazarov
1598
Estimates for potentials with oscillating kernels that are connected with the Helmholtz equation
V. A. Nogin, B. S. Rubin
1608
On a problem of determining the parameter of an evolution equation
D. G. Orlovskii
1614
Solvability of the Dirichlet problem for multidimensional elliptic systems
Sh. B. Khalilov
1621
Uniqueness classes of generalized solutions of boundary value problems for parabolic equations in unbounded noncylindrical domains
A. E. Shishkov
1627

Short Communications
$L_2$-estimates of the solution of model initial-boundary value problems for a system of two equations of general form with mixed parabolic-elliptic structure
M. A. Abdrachmanov
1634
Asymptotic expansion with respect to the small parameter of the solution of an equation of elliptic type with a discontinuous coefficient and right-hand side
V. B. Bukashkin, V. G. Sushko
1636
An inverse problem of spectral analysis on a half-line for a differential equation in a certain class
M. S. Eremin
1638
Existence of solutions that are smooth with respect to the parameter for singularly perturbed equations
V. I. Kachalov
1641
Numerical solution of a nonlinear Poisson equation for an electric potential in semiconductors
M. M. Khapaev (Jr.)
1643
Investigation of the stability of linear differential-functional equations of retarded type by the method of Lyapunov functions
D. Ya. Khusainov
1645
Exponential decrease of the solutions of linear systems with deviating argument of neutral type
D. Ya. Khusainov
1647
Analytic structure of solutions of the Sturm–Liouville problem with regular singularities
M. V. Fedoryuk
1648
 
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