Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Demonstratio Mathematica

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: opóźnienia stałe

Sortuj według:

Ogranicz wyniki do:

Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability

Hristova Snezhana G., Tersian Stepan A.

Demonstratio Mathematica

2020

Vol. 53, nr 1

121--130

Riemann-Liouville fractional differential equations with a constant delay and impulses are studied in this article. The following two cases are considered: the case when the lower limit of the fractional derivative is fixed on the whole interval of consideration and the case when the lower limit of the fractional derivative is changed at any point of impulse. The initial conditions as well as impulsive conditions are defined in an appropriate way for both cases. The explicit solutions are obtained and applied to the study of finite time stability.

Asymptotic behaviour of real two-dimensional differential system with a finite number of constant delays

Rebenda J.

Demonstratio Mathematica

2008

Vol. 41, nr 4

845-857

In this article stability and asymptotic properties of a real two-dimensional system x'(t) = A(t)x(t) +[...]=i Bj(t)x(t - r j) + h(t, x (t), x (t - n), ...,x(t- rn)) are studied, where r1 > 0,..., rn > 0 are constant delays, A, B1, ..., Bn are the matrix functions and h is the vector function. Generalization of results on stability of a two-dimensional differential system with one constant delay is obtained using the methods of complexification and Lyapunov-Krasovskii functional and some new corollaries and an example are presented.