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排序方式: 共有65条查询结果,搜索用时 15 毫秒
1.
Kalyakin L. A. Zvezdin A. K. Gareeva Z. V. 《Theoretical and Mathematical Physics》2020,203(1):457-468
Theoretical and Mathematical Physics - We consider a system of nonlinear autonomous differential equations that describe the orientation of the antiferromagnetic vector in a multiferroic film and... 相似文献
2.
L. A. Kalyakin 《Mathematical Notes》1969,6(1):513-516
The problem of convergence of the Ritz method is considered for positive definite operational equations of the form $$A_\varepsilon u \equiv (\varepsilon {\rm A}_1 + A_0 )u = f$$ containing small parameters ? for the principal part. For specific natural conditions it is proved that the Ritz method, used for an approximate solution to such equations, converges to an exact solution in a metric with quadratic form uniformly with respect to the parameter ?. 相似文献
3.
The equations obtained by averaging a system of three weakly nonlinear oscillators are considered. Distinctive properties
of asymptotics at infinity for the solutions of averaged equations for both constant and variable proper frequencies are studied.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 6, pp. 99–113, 2006. 相似文献
4.
L. A. Kalyakin 《Journal of Mathematical Sciences》2014,200(1):82-95
In this paper, we study systems of nonlinear, nonautonomous, ordinary differential equations that appear in the theory of averaging of nonlinear oscillations. We prove existence theorems for them and obtain conditions under which variables of the type of amplitude (or energy) are uniformly bounded with respect to time. 相似文献
5.
L. A. Kalyakin 《Mathematical Notes》2017,101(5-6):850-862
6.
本文利用KDV方程所对应的线性方程解所具有的光滑效应及压缩映像原理,得到了Hirota-Satsuma系统初值问题的局部和整体适定性结果. 相似文献
7.
We study a system of two first-order differential equations arising in averaging nonlinear systems over fast single-frequency
oscillations. We consider the situation where the original system contains weak dissipative terms. We construct the asymptotic
form of a two-parameter solution with an unbounded increasing amplitude. This result gives a key for understanding autoresonance
in weak dissipative systems as a phenomenon of significant increase in the forced nonlinear oscillation initiated by a small
external pumping.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 1, pp. 102–111, July, 2009. 相似文献
8.
9.
L. A. Kalyakin 《Computational Mathematics and Mathematical Physics》2010,50(8):1338-1349
A model system of two first-order differential equations that arises in the synchronization theory of nonlinear oscillations
is investigated. Constraints on the parameters of the equations under which the synchronization is realized on every solution
are found. A domain of the parameters in which the synchronization occurs only for a part of the solution set is determined. 相似文献
10.
L. A. Kalyakin 《Proceedings of the Steklov Institute of Mathematics》2016,295(1):68-77
A system of ordinary differential equations with a local asymptotically stable equilibrium is considered. The problem of stability with respect to a persistent perturbation of the white noise type is discussed. Stability with given bounds is proved on a large time interval with length of the order of the squared inverse perturbation amplitude. The proof is based on the construction of a barrier function for the parabolic Kolmogorov equation associated with the perturbed dynamical system. 相似文献