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1. Introduction Two-dimensional systems have many applications in different arears as geographical data processing, electrical circuit networks, power systems, energy exchange processes, multibody mechanics, process control, aerospace engineering and physical processes [18, 4, 9, 14]. In recent years, 2-D switched systems have attracted the att...
11 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 410 | Lượt tải: 0
1. Introduction Singular systems have many applications in reality such as electrical circuit network, power systems, aerospace engineering, network control, economic systems [6,19]. Therefore, these systems have been extensively studied over the past few decades and have yielded significant results. Using Lyapunov‟s approach to reach out to sc...
11 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 461 | Lượt tải: 0
Abstract: In this paper, we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The existence and uniqueness of a weak solution with respect to initial values is ensured by an application of the Faedo - Galerkin approximation and compact method. Moreov...
15 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 448 | Lượt tải: 0
Abstract: Consider a stochastic evolution equation containing Stratonovich-multiplicative white noise of the form where the partial differential operator A is positive definite, self-adjoint with a discrete spectrum; and the nonlinear part f satisfies the -Lipschitz condition with belonging to an admissible function space. We prove...
16 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 397 | Lượt tải: 0
Abstract: In this paper, we investigate the existence, uniqueness, and continuity of weak solutions with respect to initial values for a nonlinear parabolic equation of reactiondiffusion nonlocal type by an application of the Faedo-Galerkin approximation and AubinLions- Simon compactness results. The nonlocal quantity appears in the diffusion coef...
11 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 481 | Lượt tải: 0
Abstract: Consider an ideal gas system consisting of a large number of particles. The nature of the macroscopic system could not be described in detail. It could only be described in terms of averages, i.e. only the mean values of the thermodynamic quantities characteristic of the medium of the macro system. The average values of the thermodynam...
7 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 568 | Lượt tải: 0
1. Introduction Phonon amplification by absorption of laser field energy is a subject extensively investigated in different structures [1,2,3,4,8]. The main results of these papers are that by absorption of laser field energy, the interaction of the laser field with electron can lead to the excitation of higher harmonics and the amplification o...
5 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 432 | Lượt tải: 0
1. Introduction Crossed modules (over groups) were invented almost 70 years ago by J. H. C. Whitehead in his work on combinatorial homotopy theory [10]. Whitehead's ideas on crossed modules and their applications were developed and explained in the book by R. Brown, P. J. Higgins, R. Sivera [1]. Some generalisations of the idea of crossed modul...
7 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 590 | Lượt tải: 0
Abstract: Semi-synthesized products derived from natural compounds currently play an important role in the research and finding new substances. Allobetulin, obtained through a process of transformation from betulin, is compound extracted from the birch trees, could be used as the starting material for some transformation reactions. Some new deri...
7 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 461 | Lượt tải: 0
Definition 1.1. u t t ( ), 0 is said to be a weak solution of (1.2) if a) u t ( ) is Ft -adapted,Journal of Science Hong Duc University, E.2, Vol.7, P (95 - 106), 2016 99 b) u L T H L T V (0, ; ) (0, ; ) g g 2 almost surely for all T > 0, the following equation holds as an identity in almost surely, for t 0, . As we are mainly interested...
12 trang | Chia sẻ: thanhle95 | Ngày: 09/07/2021 | Lượt xem: 496 | Lượt tải: 0