共查询到20条相似文献,搜索用时 31 毫秒
1.
I. E. Vitrichenko 《Ukrainian Mathematical Journal》2000,52(2):221-233
For essentially nonlinear differential systems with the limit matrix of coefficients of the first-approximation system, we
establish sufficient conditions for functional polystability, which generalizes the notion of exponential polystability. 相似文献
2.
A. A. Martynyuk 《Ukrainian Mathematical Journal》1996,48(5):715-724
We establish conditions of exponentialx 1-stability and polystability for systems with separable motions. Stability conditions of these types are obtained by using the Lyapunov functions (scalar and matrix). 相似文献
3.
T. A. Mel’nik 《Ukrainian Mathematical Journal》1999,51(3):458-463
We obtain the decomposition of systems of quasidifferential equations with rapid and slow variables.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 413–417, March, 1999. 相似文献
4.
T. A. Mel'nik 《Ukrainian Mathematical Journal》1999,51(1):146-154
We establish the closeness of solutions of a linear singularly perturbed problem with asymptotically large pulse influence
and the corresponding degenerate problem.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 133–139, January, 1999. 相似文献
5.
T. A. Mel'nik 《Ukrainian Mathematical Journal》1997,49(8):1183-1190
We construct an iterative method for the solution of Cauchy problems for systems of singularly perturbed equations with fast
time.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 8, pp. 1055–1060, August, 1997. 相似文献
6.
T. A. Mel'nik 《Ukrainian Mathematical Journal》1999,51(6):963-967
We construct an asymptotic expansion of a boundary-value problem for a singularly perturbed system of differential equations
with the right-hand side discontinuous at certain surface.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 861–864, June, 1999. 相似文献
7.
Sans résuméPedagogical Institute, Odessa, and Odessa Engineering Construction Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 2, No. 1, pp. 1–19, January–March, 1968. 相似文献
8.
T. A. Mel’nik 《Ukrainian Mathematical Journal》1998,50(3):484-488
An iteration method for the enhancement of the precision of an approximate solution of the problem of averaging in the standard
form is considered.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 426–429, March, 1998. 相似文献
9.
I. V. Koverdyuk 《Ukrainian Mathematical Journal》1999,51(6):837-846
We investigate the distribution of values of a nonsymmetric divisor functiond(a,b; n) in an arithmetic progression with increasing difference.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 753–761, June, 1999. 相似文献
10.
Yu. I. Cherskii 《Ukrainian Mathematical Journal》1999,51(5):781-786
We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same
property.
Odessa Academy of Building and Architecture, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 5, pp.
703–707, May, 1999. 相似文献
11.
I. E. Vitrichenko 《Ukrainian Mathematical Journal》1999,51(6):934-941
We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear
terms.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 835–841, June, 1999. 相似文献
12.
I. S. Kats 《Ukrainian Mathematical Journal》1996,48(9):1371-1387
We established necessary and sufficient conditions for the existence of finite power moments of all integer negative orders
for the principal spectral function of a string. The necesity of this problem is explained by its relation to the so-called
strong Stieltjes moment problem.
Odessa Academy of Food Technologies, Odessa. Translated from Ukrainskii Matematischeskii Zhurnal, Vol. 48, No. 9, pp. 1209–1222,
September, 1996. 相似文献
13.
We consider a quasilinear system of difference equations with certain conditions. We prove that there exists a formal partial
o-solution of this system in the form of functional series of special type. We also prove a theorem on the asymptotic behavior
of this solution.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 672–677, May, 1997. 相似文献
14.
I. E. Vitrichenko 《Ukrainian Mathematical Journal》1997,49(5):805-811
We establish sufficient conditions of the Lyapunov stability of the trivial solution of a nonautonomous ordinary differential
equation of the nth order in the case where its characteristic equation has a multiple zero root. The stability is determined by nonlinear
terms.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii, Zhurnal, Vol. 49, No. 5, pp. 720–724, May, 1997. 相似文献
15.
V. I. Kolyada 《Ukrainian Mathematical Journal》1997,49(2):227-246
We establish conditions for mean oscillations of a periodic summable function under which the summability of its Fourier series
(conjugate series) by the Abel-Poisson method at a given point implies the convergence of Steklov means (the existence of
the conjugate function) at the indicated point. Similar results are also obtained for the Poisson integral in ℝ +n+1.
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 206–222, February, 1997. 相似文献
16.
《Journal of Applied Mathematics and Mechanics》1999,63(5):695-703
The Lyapunov-Malkin theorem on stability and (simultaneously) exponential asymptotic stability with respect to part of the variables in the linear approximation in critical cases (in Lyapunov's sense) has served as a point of departure for various previous results. These results are strengthened by relaxing all additional assumptions (other than continuity) regarding the coefficients of the linear part of the non-linear system under consideration. The result is extended to the problem of polystability with respect to part of the variables. In addition, a method for narrowing down the admissible domain of variation of “uncontrollable” variables is worked out as applied to problems of asymptotic stability with respect to part of the variables. Examples are considered. 相似文献
17.
V. N. Pivovarchik 《Siberian Mathematical Journal》1990,31(5):853-856
Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 182–186, September–October, 1990. 相似文献
18.
Z. M. Lysenko 《Siberian Mathematical Journal》1992,33(2):272-279
Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 108–115, March–April, 1992. 相似文献
19.
Asymptotics of solutions of a second-order linear differential system with a special right-hand side
Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 2, pp. 89–93, March–April, 1990. 相似文献
20.
V. N. Pivovarchik 《Functional Analysis and Its Applications》1989,23(1):70-72
Odessa Construction Engineering Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 23, No. 1, pp. 80–81, January–March, 1989. 相似文献