Displaying similar documents to “Boundedness of oriented walks generated by substitutions”

Study of Stability in Nonlinear Neutral Differential Equations with Variable Delay Using Krasnoselskii–Burton’s Fixed Point

Mouataz Billah MESMOULI, Abdelouaheb Ardjouni, Ahcene Djoudi (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [Burton, T. A.: Liapunov functionals, fixed points and stability by Krasnoseskii’s theorem. Nonlinear Stud., 9 (2002), 181–190.] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equation with variable delay x ' t = - a t h x t + d d t Q t , x t - τ t + G t , x t , x t - τ t . The stability of the zero solution of this eqution provided that h 0 = Q t , 0 = G t , 0 , 0 = 0 . The Caratheodory condition is used for the functions...

Several observations about Maneeals - a peculiar system of lines

Naga Vijay Krishna Dasari, Jakub Kabat (2016)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n|AB|n=|CDn||BDn|,|AB|n|BC|n=|AEn||CEn|,|BC|n|AC|n=|BFn||AFn|. A C n A B n = C D n B D n , A B n B C n = A E n C E n , B C n A C n = B F n A F n . Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.

Erratum

(1993)

Compositio Mathematica

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Tolerances on powers of a finite algebra

Jaromír Duda (1992)

Mathematica Bohemica

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It is shown that any power A n , n 2 , of a finite k -element algebra A , k 2 , has factorable tolerances whenever the power A 4 k 2 - 3 k has the same property.