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1985, Volume 21, Number 4  

Ordinary Differential Equations
The averaging method in the theory of perturbations of linear differential operators
A. G. Baskakov 		555–562
The direction vector method for investigating the stability of singular points of nonlinear systems. I. Theory
A. V. Zhevnyak 		562–572
The behavior of solutions of a quasihomogeneous system in the neighborhood of a nonsimple exceptional direction
M. A. Ivanov, O. A. Ivanov 		572–581
Kneser solutions
N. A. Izobov 		581–588
Oscillatory properties of a class of differential equations with deviating argument
D. V. Izyumova, I. T. Kiguradze 		588–596
Synthesis of optimal control for systems described by a hyperbolic equation
A. Z. Ishmukhametov 		597–604
Nonlocal problems in the theory of optimal processes. I
A. Ya. Narmanov, N. N. Petrov 		605–614
Perturbation of invariant manifolds. I
G. S. Osipenko 		615–623
Controllability of time-dependent linear systems
V. P. Panteleev 		623–628
Sufficient conditions for optimality of control of an ensemble of trajectories of nonlinear dynamical systems
V. V. Semenov, A. V. Panteleev 		628–636
Trace formulas for a singular differential operator with a turning point
A. A. Stakun 		636–646
Construction of analytic functions that conformally map a half plane onto circular polygons
A. R. Tsitskishvili 		646–656

Partial Differential Equations
Simplest types of ordering in open dissipative systems
T. S. Akhromeeva, G. G. Malinetskii 		657–668
Selfadjointness in essentially semibounded higher-order elliptic operators
A. G. Brusentsev 		668–677
A generalization of the characteristic problem for hyperbolic systems
M. P. Grigolia 		678–686
On the theory of parabolic pseudodifferential operators of variable order
Nguyen Minh Chuong 		686–694
Determination of the parameter of an evolution equation and inverse problems of mathematical physics. II
A. I. Prilepko, D. G. Orlovskii 		694–701
Solvability of elliptic problems with boundary conditions of Bitsadze–Samarskiǐ type
A. L. Skubachevskii 		701–706
Asymptotic behavior with respect to the parameter of the solution of a higher-order elliptic equation in a neighborhood of the line of degeneracy of the limit equation
Yu. Z. Shaygardanov 		706–715

Short Communications
A boundary value problem with a matrix parameter
M. Barnovska 		716–717
Analytic solution of a static boundary value problem of the plane theory of elasticity
V. A. Dobrushkin 		717–720
Some cases of the integrability of differential equations of the form $y''+p(x)y'+h(x)y+f(x)F(y,k(x))=0$
S. A. Zolotarev 		720–724
Some properties of modified Kontorovich–Lebedev integral transformations
Yu. M. Rappoport 		724–727
Some criteria for discreteness of the negative part of the spectrum of a linear differential operator
V. I. Filippenko 		728–731
 
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