K-g-fusion frames in Hilbert C∗-modules

Fakhr-dine Nhari; Rachid Echarghaoui; Mohamed Rossafi

doi:10.28924/2291-8639-19-2021-836

K-g-fusion frames in Hilbert C∗-modules

International Journal of Analysis and Applications ◽

10.28924/2291-8639-19-2021-836 ◽

2021 ◽

Vol 19 (6) ◽

pp. 836-857

Author(s):

Fakhr-dine Nhari ◽

Rachid Echarghaoui ◽

Mohamed Rossafi

Keyword(s):

Stability Problem ◽

Fusion Frames ◽

Fusion Frame ◽

The Stability

In this paper, we introduce the concepts of g-fusion frame and K-g-fusion frame in Hilbert C∗-modules and we give some properties. Also, we study the stability problem of g-fusion frame. The presented results extend, generalize and improve many existing results in the literature.

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The two-dimensional hydrodynamical theory of moving aerofoils. IV

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1947.0019 ◽

1947 ◽

Vol 188 (1015) ◽

pp. 439-463

Keyword(s):

Stability Problem ◽

Two Dimensional ◽

Centre Of Gravity ◽

First Approximation ◽

Von Karman ◽

Moving Cylinder ◽

Period Equation ◽

The Stability ◽

Von Kármán ◽

Hydrodynamical Theory

In the first part of this paper opportunity has been taken to make some adjustments in certain general formulae of previous papers, the necessity for which appeared in discussions with other workers on this subject. The general results thus amended are then applied to a general discussion of the stability problem including the effect of the trailing wake which was deliberately excluded in the previous paper. The general conclusion is that to a first approximation the wake, as usually assumed, has little or no effect on the reality of the roots of the period equation, but that it may introduce instability of the oscillations, if the centre of gravity of the element is not sufficiently far forward. During the discussion contact is made with certain partial results recently obtained by von Karman and Sears, which are shown to be particular cases of the general formulae. An Appendix is also added containing certain results on the motion of a vortex behind a moving cylinder, which were obtained to justify certain of the assumptions underlying the trail theory.

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Some Structural Properties of Systolic Tree Automata

Fundamenta Informaticae ◽

10.3233/fi-1989-12409 ◽

1989 ◽

Vol 12 (4) ◽

pp. 571-585

Author(s):

E. Fachini ◽

A. Maggiolo Schettini ◽

G. Resta ◽

D. Sangiorgi

Keyword(s):

Structural Properties ◽

Stability Problem ◽

Sufficient Condition ◽

Tree Automata ◽

Necessary And Sufficient Condition ◽

The Stability ◽

Necessary And Sufficient

We prove that the classes of languages accepted by systolic automata over t-ary trees (t-STA) are always either equal or incomparable if one varies t. We introduce systolic tree automata with base (T(b)-STA), a subclass of STA with interesting properties of modularity, and we give a necessary and sufficient condition for the equivalence between a T(b)-STA and a t-STA, for a given base b. Finally, we show that the stability problem for T(b)-ST A is decidible.

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Two-sided estimates in the stability problem for compressed elastic blocks

Mechanics of Solids ◽

10.3103/s0025654410010073 ◽

2010 ◽

Vol 45 (1) ◽

pp. 41-50

Author(s):

S. A. Panteleev

Keyword(s):

Stability Problem ◽

The Stability

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The stability problem for linear multistep methods: Old and new results

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.10.052 ◽

2007 ◽

Vol 210 (1-2) ◽

pp. 2-12 ◽

Cited By ~ 7

Author(s):

L. Aceto ◽

D. Trigiante

Keyword(s):

Stability Problem ◽

Multistep Methods ◽

Linear Multistep Methods ◽

The Stability

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A constructive method for the solution of the stability problem

Numerische Mathematik ◽

10.1007/bf02162400 ◽

1970 ◽

Vol 16 (1) ◽

pp. 1-7 ◽

Cited By ~ 10

Author(s):

James Lucien Howland ◽

John Albert Senez

Keyword(s):

Stability Problem ◽

Constructive Method ◽

The Stability

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Design of Hydraulic Descaling Computer Control System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.608-609.19 ◽

2014 ◽

Vol 608-609 ◽

pp. 19-22

Author(s):

Ping Xu ◽

Jian Gang Yi

Keyword(s):

Control System ◽

Stability Problem ◽

Computer Control ◽

Control Methods ◽

Computer Control System ◽

Control Software ◽

Pressure Water ◽

Working Principle ◽

The Stability

Hydraulic descaling system is the key device to ensure the surface quality of billet. However, traditional control methods lead to the stability problem in hydraulic descaling system. To solve the problem, the construction of the hydraulic descaling computer control system is studied, the working principle of the system is analyzed, and the high pressure water bench of hydraulic descaling is designed. Based on it, the corresponding computer control software is developed. The application shows that the designed system is stable in practice, which is helpful for enterprise production.

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