Results 81 to 90 of about 9,796 (225)

General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions

Boundary Value Problems, 2022
In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals,
Min Yoon, Mi Jin Lee, Jum-Ran Kang
doaj   +1 more source

Integral Input-to-State Stability of Nonlinear Time-Delay Systems with Delay-Dependent Impulse Effects

, 2020
This paper studies integral input-to-state stability (iISS) of nonlinear impulsive systems with time-delay in both the continuous dynamics and the impulses. Several iISS results are established by using the method of Lyapunov-Krasovskii functionals.
Zhang, Kexue
core  

Emergent Chaos‐Like Dynamics of Spin–Orbit‐Torque‐Driven Magnetic Transitions

Small, EarlyView.
By combining anisotropy‐engineered nanometer‐scale nucleation sites with time‐resolved x‐ray holography and micromagnetic modeling, magnetization dynamics are directly imaged, revealing chaos‐like fluctuations and skyrmion shedding and highlighting the intrinsic complexity of spin‐orbit torque driven systems.
L.‐M. Kern, K. Litzius, V. Deinhart, M. Schneider, C. Klose, K. Gerlinger, R. Battistelli, D. Metternich, D. Engel, C. M. Günther, M.‐J. Huang, K. Höflich, F. Büttner, S. Eisebitt, B. Pfau   +14 more
wiley   +1 more source

Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay

Abstract and Applied Analysis, 2011
A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors ...
Irada A. Dzhalladova, Jaromír Baštinec, Josef Diblík, Denys Y. Khusainov   +3 more
doaj   +1 more source

Global Stability for Fractional Diffusion Equations in Biological Systems

Complexity, 2020
This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the
Khalid Hattaf, Noura Yousfi
doaj   +1 more source

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source

Heat equation and convolution inequalities

, 2013
It is known that many classical inequalities linked to convolutions can be obtained by looking at the monotonicity in time of convolutions of powers of solutions to the heat equation, provided that both the exponents and the coefficients of diffusions ...
Toscani, Giuseppe
core   +1 more source

Global boundedness and stability of a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities

Advances in Nonlinear Analysis
This study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
doaj   +1 more source

THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS

Pesquimat, 2014
In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove global existence and exponential decay of solution.
Jaime Edilberto Muñoz Rivera, Eugenio Cabanillas Lapa, Juan Benito Bernui Barros   +2 more
doaj   +1 more source

Lyapunov Theorems for Systems Described by Retarded Functional Differential Equations

, 2005
Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are ...
Karafyllis, Iasson
core