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1984, Volume 20, Number 10
Ordinary Differential Equations
On the question of the well-posedness of an optimal control problem
O. Abdyrakhmanov, A. V. Kryazhimskiy
1659–1665
Bifurcation of separatrices of a saddle of the Lorenz system
V. N. Belykh
1666–1674
Reducibility of the Painlevé equations
V. I. Gromak
1674–1683
Control of time-dependent dynamic systems
S. V. Emel'yanov, S. K. Korovin, B. V. Ulanov
1683–1694
Domain of Noethericity of the operator
$z^{n-r}\frac{d^n}{dz^n}$
in a space of entire functions
O. V. Epifanov
1694–1703
Behavior of the solutions of higher-order ordinary differential equations in the neighborhood of a singular point
I. T. Kiguradze
1703–1709
General boundary value problems for a system of first-order ordinary differential equations in a class of generalized functions
T. M. Kosheleva
1709–1715
Qualitative investigation of critical cases of stability of motion
Yu. V. Malyshev
1715–1720
On the theory of third-order systems without moving critical points
I. P. Martynov
1720–1726
Zeros of solutions of a nonlinear differential system
D. D. Mirzov
1726–1732
Partial Differential Equations
Existence of classical periodic solutions of the wave equation. The relation of the number-theoretic character of the period and the geometric properties of solutions
O. Vejvoda, M. Shtedry
1733–1739
Solution of a quasilinear hyperbolic system
M. P. Galanin
1739–1744
A theorem on one-sided a priori boundary estimation for the solution of a second-order degenerate parabolic equation
L. I. Kamynin, B. N. Khimchenko
1744–1753
The Cauchy problem for a system of semilinear parabolic equations with balance conditions
Ya. I. Kanel'
1753–1760
The inverse Cauchy problem for hyperbolic systems
D. G. Orlovskii
1760–1768
Integral Equations and Integral-Differential
Nonlocal continuability of solutions of nonlinear integro-differential systems of equations of reactor kinetics
Yu. A. Kuznetsov, V. V. Shashkov
1769–1782
Solvability of integro-differential correspondences
Yu. K. Lando
1782–1788
A nonlinear boundary value problem for a system of arbitrary cardinality of second-order integro-differential equations
P. Olszewski
1788–1799
Admissibility of certain pairs of spaces with respect to linear Volterra integral equations
V. F. Pulyaev
1800–1805
Short Communications
The relation between third-order systems without moving critical points and nonlinear partial differential equations
N. S. Berezkina
1806–1809
Classification of singular points of the equation $y'=\frac{a_0x^2+a_1xy+a_2y^2}{b_0x^2+b_1xy+b_2y^2}$ Forster's method
È. V. Vdovina
1809–1813
Optimal polynomial methods of solution of ordinary differential equations
B. G. Gabdulkhaev, A. I. Leonov
1813–1816
Completeness in
$L_p$
of a system of eigen- and associated functions of elliptic operators in unbounded domains
V. A. Kazhan
1816–1819
First integrals of a system of differential equations
D. N. Kachevsky
1819–1821
Representation and solvability of a differential correspondence
Yu. K. Lando, A. L. Il'in
1821–1823
The normal form on an invariant surface of a completely integrable Pfaffian system
A. V. Makhorkin
1824–1827
Criterion for asymptotic stability of linear difference systems
S. N. Shimanov, A. F. Trusov
1827–1829
Some questions of the stability of difference equations in Banach space with respect to all and to part of the variables
G. S. Yudaev
1829–1833
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