Differ. Uravn., 1972, Volume 8, Number 10

Differentsial'nye Uravneniya

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1972, Volume 8, Number 10

Ordinary Differential Equations
	Representations of the $TO$-solutions of the equation $X(x,y)dy=Y(x,y)dx$ A. F. Andreev, G. I. Gleizer	1723–1737
	A condition for the completeness of the system of root subspaces of a Sturm–Liouville type operator in Hilbert space E. A. Begovatov	1738–1744
	Criteria for the optimality of discrete processes V. G. Boltyanskii	1745–1752
	Sufficient conditions for the existence of solutions with stationary critical singular points for first order equations N. S. Kolesnikova, N. A. Lukashevich	1753–1760
	The construction of the equations of a programmed motion having extremal properties E. S. Lehnitsky	1761–1766
	A certain differential game A. V. Mezentsev	1767–1771
	The existence of a locally invariant surface for certain strongly nonlinear systems of differential equations V. N. Monakov	1772–1778
	On the analytic theory of the equation $z^2u^{''}-f(z)u=0$. I, II V. K. Polishchuk	1779–1790
	Coefficient criteria for the existence of separatrix cycles for a certain quadratic equation I. G. Rozet	1791–1796
	A certain differential pursuit game with information lag in the presence of integral constraints B. N. Sokolov	1797–1804

Partial Differential Equations
	Diffraction of the radiation field of a horizontal dipole by a circular opening in a plane screen in the presence of a circular disc that is coaxial to it A. Karpuk	1805–1815
	Branching of the solutions of the equation $\Delta u+\lambda u=f(u)$ on the sphere B. V. Loginov	1816–1824
	Expansion of functions belonging to $L_p$ in the eigenfunctions of certain elliptic operators N. Mahmetzhanov	1825–1834
	Weight spaces. Boundary conditions V. N. Sedov	1835–1847
	A representation of the analytic solutions of certain matrix-valued partial differential equations V. Kh. Froim	1848–1856

Finite difference equations
	On necessary conditions for high order optimality for singular controls of discrete systems L. Ashchepkov	1857–1867
	The space-time version of the method of straight lines, and its realization F. V. Lubyshev	1868–1875

Short Communications
	On the existence of periodic solutions to nonlinear systems N. G. Bulgakov	1876–1877
	On the question of the estimation of domains of attraction I. V. Gaishun	1878–1879
	The singular points of the Darboux differential equation N. N. Dedok	1880–1881
	The almost differentiability with respect to parameters of the solutions of a system of first order ordinary differential equations N. A. Ivanov	1882–1885
	The solutions of a certain differential system in a complex domain S. G. Kondratenya	1886–1888
	On the question of the stability of the solutions of linear systems of differential equations with lag N. I. Krupnova	1889–1891
	An estimate of the sector of absolute stability of a certain third order nonlinear equation S. N. Kustarov	1892–1893
	The boundedness and unboundedness of the solutions of certain systems of second order equations S. N. Olekhnik	1894–1897
	A certain class of integrable equations with limit cycles G. E. Popov	1898–1900
	Global topological equivalence of nonlinear flows A. A. Reinfeld	1901–1903
	Solvability in the large of the first boundary value problem for a certain class of quasilinear one-dimensional parabolic equations Yu. T. Sil'chenko, P. E. Sobolevskii	1904–1905
	A certain oblique derivative problem for harmonic functions of three independent variables M. S. Shneerson, N. F. Kudryashova	1906–1908

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