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1973, Volume 9, Number 8  


Ordinary Differential Equations
The support principle in optimal control problems
V. G. Boltyanskii
1363
Affine invariants of a system with quadratic nonlinearities
È. F. Gasinskaya, K. S. Sibirskii
1371
Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. I. Dependence of the optimal control on the initial state and on the parameters
T. Gichev
1383
Asymptotic solutions of second order linear homogeneous differential equations in a Banach space with a small parameter multiplying the highest derivative
L. A. Groza
1393
Investigation of a discrete relay system by the method of point transformations of the switching domains. II
V. A. Gustomesov
1403
Linear equations with integral separation that are everywhere dense in the set of all linear differential equations of order $n$
Kamal Ahmed Dib
1417
Conditions for a priori boundedness of the solutions of boundary value problems for third order equations
Yu. A. Klokov, L. N. Pospelov
1425
The cycles of the equation $y'=Q_2(x,y)/P_2(x,y)$
L. A. Cherkas
1432

Partial Differential Equations
Estimates of the fundamental potentials for parabolic equations of higher order. I
E. A. Baderko
1438
The axially symmetric Dirichlet problem of the static theory of elasticity in displacements for a domain that is bounded by a cylindrical and a spherical surface
V. T. Erofeenko
1452
The branching of the solutions of differential equations with a degeneracy
N. A. Sidorov
1464
The approximation of the solutions of boundary value problems in unbounded domains
L. Shimon
1482

Integral-Differential and Integral Equations
On the approximate solution of singular integrodifferential equations. I. Linear equations
I. V. Boykov, I. I. Zhechev
1493
Regularization of ill-posed convolution type equations by means of generalized summation of integrals
O. A. Liskovets
1503
Set-valued mappings in the theory of integral equations with a discontinuous operator
L. N. Lyapin
1511

Short Communications
Bifurcations of the separatrices and limit cycles of a two-dimensional dynamical system under a rotation of the field
N. N. Butenina
1520
Sufficient conditions for the oscillatoriness of the solutions of nonlinear finite difference equations
Ya. V. Bykov, L. V. Zhivoglyadova, E. I. Shevtsov
1523
On the optimization of motions
V. I. Zubov
1525
Sufficient conditions for stability and instability in the sense of V. I. Zubov of invariant manifolds of differential systems
I. G. Krosko
1527
Partial stability in the first approximation
A. V. Lutsenko, L. V. Stadnikova
1530
Meromorphic solutions of linear differential equations with meromorphic coefficients
V. D. Mokhon'ko
1534
A fixed point method in certain boundary value problems for ordinary differential equations with discontinuous right hand side
R. K. Ragimkhanov
1537
A proof of the presence of an infinite number of limit cycles for the equation $\ddot y+\mu sin$ $(\dot y+\theta )+y=0$
G. S. Rychkov
1540

People of Soviet science
Rafaèl' Aramovič Aleksandrjan (on the occasion of his fiftieth birthday)
S. N. Mergelyan, I. M. Gel'fand, O. A. Oleinik
1543
 
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