• Exponential stability of 2D discrete systems with mixed time-varying delaysExponential stability of 2D discrete systems with mixed time-varying delays

    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...

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  • Exponential stability for singular systems with interval time-varying delaysExponential stability for singular systems with interval time-varying delays

    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...

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  • Long-time behavior of solutions to a quasilinear parabolic equationLong-time behavior of solutions to a quasilinear parabolic equation

    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...

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  • Non-Autonomous stochastic evolution equations, inertial manifolds and chafee-infante modelsNon-Autonomous stochastic evolution equations, inertial manifolds and chafee-infante models

    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...

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  • Global attractors of nonlocal reaction diffusion equations with exponential nonlinearitiesGlobal attractors of nonlocal reaction diffusion equations with exponential nonlinearities

    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...

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  • Study boltzman distribution function for ideal gas systemStudy boltzman distribution function for ideal gas system

    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...

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  • Determined conditions of laser field on acoustic phonon increasing in semiconductor blockDetermined conditions of laser field on acoustic phonon increasing in semiconductor block

    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...

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  • Some main occurrences of crossed modulesSome main occurrences of crossed modules

    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...

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  • Semi-synthesis of some heterocyclic triterpene derivatives on the basis of allobetulinSemi-synthesis of some heterocyclic triterpene derivatives on the basis of allobetulin

    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...

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  • The exponential behavior and stabilizability of stochastic 2D G-navier-stokes equationsThe exponential behavior and stabilizability of stochastic 2D G-navier-stokes equations

    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...

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