• Fréchet subdifferentials of the minimum time function at points in the targetFréchet subdifferentials of the minimum time function at points in the target

    If there is no trajectory of F starting at x can reach K , then. If x K  then we set T x ( ) 0  . It is well-known that, under assumptions (F1) - (F3), the infimum in (1.2) is attained and the minimum time function T is lower semicontinuous [21]. The minimum time function is an important optimal value function of optimal control theory. This ...

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  • Solation and mass production of TrichodermaSolation and mass production of Trichoderma

    Abstract: Three Trichoderma isolates (THDU-1, THDU-2, and THDU-3) were isolated from the root zone area of healthy bananas on the farm in Ba Thuoc district, Thanh Hoa province. All of these isolates showed high inhibitory activity against soil borne diseases Rhizoctonia solani and Sclerotium rolfsii. Our study proposed a protocol of Trichoderma ...

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  • A trial of Neolamarckia cadamba in Thanh Hoa provinceA trial of Neolamarckia cadamba in Thanh Hoa province

    Abstract: A trial of Neolamarckia cadamba in Thanh Hoa province has the following results: Neolamarckia cadamba is the easy growing and photophillic tree, highly adaptable to natural conditions of Thuong Xuan, Nhu Thanh, and Tinh Gia which are representatives of the mountainous area, midland area and delta coastal area, respectively, in Thanh Ho...

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  • Critical behavior in La0.7Sr0.3Mn0.98Cu0.02O3 compoundCritical behavior in La0.7Sr0.3Mn0.98Cu0.02O3 compound

    1. Introduction The perovskite manganites (La,Sr)MnB'O3, where B‟ stands for the transition elements have recently attracted a wide range of research in laboratories because of their potential applications in electric devices that operate based on colossal magnetoresistance effect (CMR) and magnetocaloric effect (MCE) [1-4]. Basically, the magnetic...

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  • 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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  • Random variational inequalities for semi H-monotone mappingsRandom variational inequalities for semi H-monotone mappings

    4. Conclusion The theorems 3.4 and 3.5 solve some random variational inequalities for semi H-monotone and weakly semi H-monotone mappings. These are good results in solving random variational inequalities for semi H-monotone and weakly semi Hmonotone mappings.

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  • Rapid in vitro propagation of native Dendrobium chrysotoxumRapid in vitro propagation of native Dendrobium chrysotoxum

    Abstract: The rapid micropropagation of Dendrobium chrysotoxum by applying in vitro tissue culture has the following results: The VW containing 20g/l sucrose and 8g/l agar was the most suitable medium for seed germination. The appropriate medium for rapid protocorm multiplication and shoot formation was the basic MS supplemented with 20g/l sucro...

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