# Search results for: Tongxing Li

Mathematische Nachrichten > 293 > 5 > 910 - 922

**193**(2014), no. 6, 1861–1875), Li and Rogovchenko (Math. Nachr.

**288**(2015),...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-16

*N*-coupled fractional-order chaotic systems with ring connection via bidirectional coupling. On the basis of the direct design method, we design the appropriate controllers to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. By choosing appropriate fractional-order Lyapunov functions and employing...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-11

Mathematische Nachrichten > 292 > 10 > 2153 - 2164

Advances in Difference Equations > 2019 > 2019 > 1 > 1-20

Zeitschrift für angewandte Mathematik und Physik > 2019 > 70 > 3 > 1-18

*u*, $$m>1$$ m>1 and $$u_0(\mathbf{x})$$ u0(x) is a nonnegative and sufficiently regular function...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Mathematical Methods in the Applied Sciences > 42 > 4 > 1151 - 1166

*β*–Ulam–Hyers stability, generalized

*β*–Ulam–Hyers stability,

*β*–Ulam–Hyers–Rassias stability, and generalized

*β*–Ulam–Hyers–Rassias stability, for

*n*th order nonlinear differential equations with integrable impulses of fractional type. The existence and uniqueness of solutions are investigated by using the Banach contraction principle...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-11

Advances in Difference Equations > 2018 > 2018 > 1 > 1-14

*l*and

*k*are nonnegative integers,

*a*and

*b*are nonnegative real numbers, the initial values x−s,x−s+1,…,x0 are positive real numbers, s=max{l,k} $s=\max\{l,k\}$, and f(u,v):(0,∞)2→(0,∞)...

Journal of Inequalities and Applications > 2018 > 2018 > 1 > 1-13

Mathematical Methods in the Applied Sciences > 41 > 7 > 2625 - 2638

*N*‐coupled general fractional‐order complex chaotic systems described by a unified mathematical expression with ring connection. By means of the direct design method, the appropriate controllers are designed to transform the fractional‐order error dynamical system into a nonlinear system with antisymmetric structure. Thus,...

Advances in Difference Equations > 2018 > 2018 > 1 > 1-19

Advances in Difference Equations > 2018 > 2018 > 1 > 1-9

Boundary Value Problems > 2018 > 2018 > 1 > 1-13

Advances in Difference Equations > 2017 > 2017 > 1 > 1-24

Journal of the Franklin Institute > 2017 > 354 > 14 > 6247-6257

_{τ}(m, n): m ≥ n ≥ 0} be the family of periodic discrete transition matrices generated by bounded valued square matrices Λ

_{τ(n)}, where τ:[0,1,2,⋯)→Ω is an arbitrary switching signal. We prove that the family {Π

_{τ}(m, n): m ≥ n ≥ 0} of bounded linear operator is uniformly exponentially stable if and only if the sequence n↦∑k=0neiαkΠτ(n,k)w(k):Z+→R is bounded.

Advances in Difference Equations > 2017 > 2017 > 1 > 1-7