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1973, Volume 9, Number 10  


Ordinary Differential Equations
On the proof of the maximum principle for objects with continuous time
V. G. Boltyanskii
1747
Optimal control of a process of trajectory measurements under random perturbations
V. B. Kolmanovskii
1754
Conditions for the existence of solutions with singular initial conditions of a nonlinear system of two differential equations
S. G. Kondratenya, A. I. Yablonskii
1765
Generalized Ljapunov functions, and the theory of exceptional directions
Yu. V. Malyshev
1774
Differential equations with fixed critical singular points
I. P. Martynov
1780
Contact avoidance problem in differential games with nonlinear controls
E. F. Mishchenko, N. Satimov
1792
On the problem of the construction of equations of programmed motions
I. A. Mukhametzyanov
1798
Certain properties of the $O$-curves of first order equations with factored right-hand side
V. V. Nikonenko
1810
On the problem of the center for systems with discontinuous right-hand sides
I. I. Pleshkan, K. S. Sibirskii
1817
The almost recurrent and recurrent motions of discontinuous dynamical systems
V. F. Rozhko
1826

Partial Differential Equations
The question whether nonlinear mixed problems for almost linear hyperbolic systems in the plane are well posed
V. N. Gol'dberg
1831
Continuous branches of the eigenfunctions of quasilinear elliptic problems
V. S. Klimov
1845
Method of $\varepsilon $-quasisolutions for equations of the first kind
O. A. Liskovets
1851
The construction of order-optimal approximate solutions of linear conditionally well-posed problems
V. N. Strakhov
1862
Diffraction of a plane sonic wave in an angular domain whose boundaries are absolutely rigid and slippery and coated thin elastic plates
A. A. Tuzhilin
1875
Smoothness of generalized solutions near the vertex of a polyhedral angle
A. F. Filippov
1889

Finite difference equations
Existence of invariant tori for systems of difference equations
A. M. Samoilenko, D. I. Martynyuk, N. A. Perestyuk
1904

Short Communications
Comparison functions for the solutions of a certain first order nonlinear differential equation
G. S. Krechetov
1911
A plane mixed heat conduction problem for a wedge
L. Ya. Tikhonenko
1915
On a certain theorem of N. E. Žukovskiǐ
A. Ya. Khokhryakov
1919
 
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