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作者:Akbar Zada , Sartaj Ali , Yongjin Li
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:In this paper, we investigate four different types of Ulam stability, i.e ., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional differential equations w...
作者:Hasib Khan , Wen Chen , Aziz Khan ...
来源:[J].Advances in Difference Equations(IF 0.76), 2018, Vol.2018 (1), pp.1-16Springer
摘要:... We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p -Laplacian operator and Riemann–Liouville integral boundary conditions (IBCs). An illustrative example is presented to demonstrate our ma...
作者:Nattakan Supajaidee , Sompop Moonchai
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ...
作者:Yu Qiao , Yue Huang , Minghao Chen
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method. Consequently, some novel global i...
作者:Clive S. Barker , Irina V. Meshcheryakova , Alla S. Kostyukova ...
来源:[J].BMC Biology(IF 6.531), 2017, Vol.15 (1)Springer
摘要:... For a supra-molecular nano-machine like the bacterial flagellum, which consists of several distinct parts with specific characteristics, stability is important. During the rotation of the bacterial flagellar motor, which is located in the membrane, the flagella rotate at spee...
作者:Jinhuang Chen , Xiangdong Xie
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:We obtain some conditions for the local stability of the equilibria. Using the iterative method and the comparison principle of a difference equation, we also obtain a set of sufficient conditions that ensure the global stability of the interior equilibrium. Numeric simulations s...
作者:Chengbin Liang , Wei Wei , JinRong Wang
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:In this paper, we study the finite time stability of delay differential equations via a delayed matrix cosine and sine of polynomial degrees. Firstly, we give two alternative formulas of the solutions for a delay linear differential equation. Secondly, we obtain a norm estimation...
作者:Xianxiu Zhang , Chuandong Li , Tingwen Huang
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:This paper investigates the impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks (CGNN) by means of B-equivalence method. Under certain conditions, the state-dependent impulsive switching systems can be reduced to the fixed-time ones. ...
作者:Liguang Wan , Ailong Wu
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:This paper is concerned with the Mittag-Leffler stability of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument. Applying the Lyapunov method, the generalized Gronwall-Bellman inequality, and the theory of fractional-order differential equations, suffi...
作者:Hasib Khan , Yongjin Li , Wen Chen ...
来源:[J].Boundary Value Problems(IF 0.922), 2017, Vol.2017 (1)Springer
摘要:In this paper, we study the existence and uniqueness of solution (EUS) as well as Hyers-Ulam stability for a coupled system of FDEs in Caputo’s sense with nonlinear p -Laplacian operator. For this purpose, the suggested coupled system is transferred to an integral system with ...

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