Temat: time periodic solution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and Uniqueness of Time Periodic Solution to the Viscous Modified Degasperis-Procesi Equation
Autorzy:: Asaduzzaman, Md.
Ali, Md. Zulfikar
Powiązania:: https://bibliotekanauki.pl/articles/1031446.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Galerkin’s method
Leray-Schauder fixed point theorem
time periodic solution
viscous modified Degasperis-Procesi equation
Opis:: In this paper, we establish the existence and uniqueness criteria of time periodic solution to the viscous modified Degasperis-Procesi (vmDP for short) equation with periodic boundary value conditions. The analysis of this study is based on Galerkin’s method and Leray-Schauder fixed point theorem. Using Galerkin’s method some uniform priori estimates of approximate solution to the corresponding equation of vmDP has been constructed. Furthermore, the efficient and straightforward existence and uniqueness criteria of time periodic solution to the vmDP with periodic boundary value conditions has been obtained.
Źródło:: World Scientific News; 2020, 142; 25-43
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays
Autorzy:: Huo, Nina
Li, Bing
Li, Yongkun
Powiązania:: https://bibliotekanauki.pl/articles/330171.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: Hopfield neural network
anti-periodic solution
coincidence degree
time-varying delay
sieć neuronowa Hopfielda
stopień koincydencji
opóźnienie czasowo zależne
Opis:: A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of anti-periodic solutions of the networks considered. Then, by using the proof by contradiction, we obtain the global exponential stability of the anti-periodic solutions. Finally, two numerical examples are given to illustrate the feasibility of our results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 83-98
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Almost periodic synchronization of fuzzy cellular neural networks with time-varying delays via state-feedback and impulsive control
Autorzy:: Li, Yongkun
Wang, Huimei
Meng, Xiaofang
Powiązania:: https://bibliotekanauki.pl/articles/331017.pdf
Data publikacji:: 2019
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: almost periodic solution
fuzzy cellular neural networks
time varying delays
state feedback
impulsive control
rozwiązanie okresowe
sieć neuronowa
opóźnienie czasowe
sprzężenie zwrotne
Opis:: In this paper, we are concerned with drive-response synchronization for a class of fuzzy cellular neural networks with time varying delays. Based on the exponential dichotomy of linear differential equations, the Banach fixed point theorem and the differential inequality technique, we obtain the existence of almost periodic solutions of this class of networks. Then, we design a state feedback and an impulsive controller, and construct a suitable Lyapunov function to study the problem of global exponential almost periodic synchronization for the drive-response systems considered. At the end of the paper, we provide an example to verify the effectiveness of the theoretical results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 337-349
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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