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1.
For Hermitian adjoint differential operators, we consider the structure of Darboux–Bäcklund-type transformations in the class of parametrically dependent Hilbert spaces. By using the proposed new method, we obtain the corresponding integro-differential symbols of the operators of transformations in explicit form and consider the problem of their application to the construction of two-dimensional Lax-integrable nonlinear evolution equations and their Darboux–Bäcklund-type transformations. 相似文献
2.
Anatoliy Samoilenko Manuel Pinto Sergei Trofimchuk 《Proceedings of the American Mathematical Society》2005,133(1):145-154
We apply the Krylov and Bogolyubov asymptotic integration procedure to asymptotically autonomous systems. First, we consider linear systems with quasi-periodic coefficient matrix multiplied by a scalar factor vanishing at infinity. Next, we study the asymptotically autonomous Van-der-Pol oscillator.
3.
Z. A. Samoilenko V. D. Okunev E. I. Pushenko T. A. D’yachenko A. Cherenkov P. Gierlowski S. J. Lewandowski A. Abal’oshev A. Klimov A. Szewczyk 《Technical Physics》2003,48(2):250-256
Crystallographic phase transitions in perovskite-like LaSrMnO metallic oxides are studied. The transitions are induced when
internal stresses generated during film synthesis (at temperatures between 450 and 730°C) vary (decrease or increase) upon
subsequent irradiation by a KrF laser emitting in the UV range. As the synthesis temperature T
s grows, the rhombohedral-to-orthorhombic phase transition occurs at 650–670°C. The resistivity is shown to be either temperature-independent,
ρ(T)=const, at T<T
crit, or varies and reaches a maximum, ρ(T)=ρmax, at the Curie temperature T
c. Optical transmission spectra taken at photon energies ℏω=0.5–2.5 eV exhibit both a high (0.8–0.9) and low (0.1–0.3) transmission
coefficient t, depending on the synthesis temperature. As follows from X-ray diffraction data, the laser irradiation causes a phase transition
only in LaSrMnO films grown at T
s<650°C. Phases of different size scales appear: the long-range-order orthorhombic matrix and mesoscopic-range-order rhombohedral
clusters are observed in the films grown at T
s=450–550°C and the rhombohedral matrix with orthorhombic clusters, in the films grown at T
s=550–650°C. 相似文献
4.
A. M. Samoilenko 《Ukrainian Mathematical Journal》2007,59(2):243-292
We present results of the investigation of the local behavior of smooth functions in neighborhoods of their regular and critical
points and prove theorems on the mean values of the functions considered similar to the Lagrange finite-increments theorem.
We also study the symmetry of the derivative of an analytic function in the neighborhood of its multiple zero, prove new statements
of the Weierstrass preparation theorem related to the critical point of a smooth function with finite smoothness, determine
a nongradient vector field of a function in the neighborhood of its critical point, and consider one critical case of stability
of an equilibrium position of a nonlinear system.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 2, pp. 231–267, February, 2007. 相似文献
5.
Yu. I. Samoilenko 《Ukrainian Mathematical Journal》2007,59(11):1750-1767
We propose and investigate a mathematical model of an open bilinear control system for the conversion of heat energy in a
coherent form. We show that the use of a combinational parametric resonance formed by the control system in a one-temperature
ensemble of weakly dissipative elastic-gyroscopic subsystems enables one to obtain a positive energy output without using
any cooling device apart from the control system.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 11, pp. 1557–1573, November, 2007. 相似文献
6.
A. M. Samoilenko 《Ukrainian Mathematical Journal》1991,43(10):1195-1208
Expanded text of paper read by the author to a meeting of the Kiev Mathematical Society, February 26, 1991. 相似文献
7.
8.
The existence and uniqueness of the bounded (on the whole axis) solution of a certain class of systems of nonlinear differential-difference equations of neutral type are proved.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 390–394, March, 1991. 相似文献
9.
10.
Mokhammad Arif G. V. Samoilenko Yu. G. Sergeev L. N. Blinov 《Russian Journal of Applied Chemistry》2005,78(9):1398-1402
The phase diagram of the system Sb2S3-AgI was constructed from data of the differential thermal and X-ray phase analyses. The physicochemical properties of glassy and crystalline alloys were studied. 相似文献