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We prove a local existence of weak solutions of semilinear parabolic equations with a strong singular absorption and a source. Moreover, we consider the qualitative behavior of solutions.
10p vioishi2711 01-07-2019 17 1 Download
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In this paper, the index-1 notion for arbitrarily switched discrete-time linear singular systems (SDLS) has been introduced. Based on the Bohl exponents of SDLS as well as properties of associated positive switched systems, some necessary and sufficient conditions have been established for exponential stability.
9p cathydoll4 21-02-2019 36 1 Download
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In this work, we study the one-dimensional Dirac system on a whole line with impulsive conditions. We construct a spectral function of this system. Using the spectral function, we establish a Parseval equality and spectral expansion formula for such a system.
19p nutifooddau 21-01-2019 16 1 Download
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We construct an iteration sequence converging (in the uniform norm in the space of continuous functions) to the solution of the Cauchy problem for a singularly perturbed weakly nonlinear differential equation of an arbitrary order (the weak nonlinearity means the presence of a small parameter in the nonlinear term).
13p nutifooddau 21-01-2019 20 0 Download
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In this paper, we study the quenching behavior of the solution of a semilinear reaction-diffusion system with singular boundary condition. We first get a local exisence result. Then we prove that the solution quenches only on the right boundary in finite time and the time derivative blows up at the quenching time under certain conditions.
15p danhdanh27 07-01-2019 10 0 Download
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In this paper, we propose and analyze a high-order uniform method for solving boundary value problems (BVPs) for singularly perturbed nonlinear delay differential equations with small shifts (delay and advance).
24p danhdanh27 07-01-2019 26 1 Download
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In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl’s limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular.
18p danhdanh27 07-01-2019 10 0 Download
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In this paper we construct Weyl’s theory for the singular left-definite Dirac systems. In particular, we prove that there exists at least one solution of the system of equations that lies in the Sobolev space. Moreover, we describe the behavior of the solution belonging to the Sobolev space around the singular point.
7p danhdanh27 07-01-2019 16 0 Download
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Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular braid group was introduced by FennKeyman-Rourke as the quotient group of the singular braid monoid. We give a solution of the word problem for this group.
6p danhdanh27 07-01-2019 18 0 Download
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A weighted norm inequality for a homogeneous singular integral with a kernel belonging to a certain block space is proved. Also, some applications of this inequality are obtained. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.
23p danhdanh27 07-01-2019 11 0 Download
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In this paper, we give a geometric proof of Pinkham’s theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of the Tyurina components of the exceptional divisor.and of the points of blowing-up surface of a rational singularity.
14p tuongvidanh 06-01-2019 18 0 Download
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In the current paper, we are concerned with the study of abstract linear evolution equations in Banach spaces in which the time derivative term is multiplied by a small parameter. Such equations arise in the study of radiative transfer and neutron transport in Nuclear Physics.
20p tuongvidanh 06-01-2019 24 0 Download
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In this article, the class of R0-matrices is extended to include typically singular matrices, by requiring in addition that.the solution x above belongs to a subspace of Rn. This idea is then extended to semidefinite linear complementarity problems, where a characterization is presented for the multplicative transformation.
10p vinguyentuongdanh 19-12-2018 17 0 Download
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In this paper, a report is made on an application of the mentioned capability of wavelet transform for grasping subtle changes and discontinuities in electrocardiogram (ECG) signals. From the signal processing point of view, it shows that the diagnostic of ECG signals is carried out by excluding any recognised abnormality as singular points or irregular structures.
10p dannisa 14-12-2018 20 0 Download
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This article will attempt to look at some issues in using third person singular pronouns He/She in English and Vietnamese through some certain situations so as to help learners and translators understand and use them correctly.
7p miulovesmile4 19-11-2018 31 1 Download
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This paper presents an analytical scheme for analyzing the singular configuration problem of general five-axes CNC machine tool. A computational technique based on the generalized pseudo inverse kinematics for finding out feasible solution of the problem is proposed. The technique is then used for developing postprocessor algorithm of five-axes CNC machine tool. Typical examples of singularity analysis are carried out, and real cutting parts are implemented for verifying the research result.
11p thienthanquydu 19-10-2018 21 0 Download
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This paper presents an online bearing damage identifying method named ASBDIM based on ANFIS (Adaptive Neuro-Fuzzy Inference System), Singular Spectrum Analysis (SSA) and sparse filtering. This is an online estimating process operated via two phases, offline and online one.
16p thuyliebe 05-10-2018 47 0 Download
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In this paper, the identifying undamaged-beam status based on singular spectrum analysis (SSA) and wavelet neural networks (WNN) is presented. First, a database is built from measured sets and SSA which works as a frequency-based filter. A WNN model is then designed which consists of the wavelet frame building, wavelet structure designing and establishing a solution for training the WNN.
15p dieutringuyen 07-06-2017 49 1 Download
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Singularity analysis paves the way to the analysis of a large quantity of generating functions, as provided by the symbolic method expounded in Chapters I–III. In this chapter we illustrate this situation with numerous examples related to languages, permutations, trees, and graphs of various sorts. As in chapter 5, most analyses are organized into broad classes called schemas.
59p allbymyself_08 22-02-2016 44 5 Download
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In this chapter, we present a general approach to the analysis of coefficients of generating functions that is not restricted to polar singularities and extends to a large class of functions that have moderate growth or decay at their dominant singularities. This chapter presents the following content: Prelude, standard function scale, singularity analysis, schemas and transfer theorems.
56p allbymyself_08 22-02-2016 40 3 Download
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