A discrete retarded Gronwall–Bellman type inequality and its applications to difference equations
From MaRDI portal
Publication:6142173
DOI10.1002/mma.8378zbMath1529.39015OpenAlexW4280588761MaRDI QIDQ6142173
De-Sheng Li, Guang Zhang, Feichao Chen
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8378
asymptotic stabilitydifference equationglobal pullback attractorretarded Gronwall-Bellman type inequality
Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and synchronization analysis of neural networks via Halanay-type inequality
- New discrete Halanay-type inequalities and applications
- Autonomous and non-autonomous attractors for differential equations with delays
- Discretization of asymptotically stable stationary solutions of delay differential equations with a random stationary delay
- Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
- Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag
- New discrete type inequalities and global stability of nonlinear difference equations
- Inequalities for differential and integral equations
- Discrete Halanay-type inequalities and applications.
- Weak pullback attractors of setvalued processes.
- A note on the global stability of generalized difference equations
- A retarded Gronwall-like inequality and its applications
- Attractors for differential equations with multiple variable delays
- Pullback dynamics of a 3D modified Navier-Stokes equations with double delays
- Caputo-Hadamard fractional Halanay inequality
- Uniform decay estimates for solutions of a class of retarded integral inequalities
- Differential equations: Stability, oscillations, time lags
- Stability and observer designs using new variants of Halanay's inequality
- A projected discrete Gronwall's inequality with sub-exponential growth
- Weak Pullback Attractors of Non-autonomous Difference Inclusions
- Continuous and discrete Halanay-type inequalities
- Some Invariant Manifolds for Functional Difference Equations with Infinite Delay
- Stable manifolds for difference equations with infinite delay
- Nonautonomous Dynamics
- Integral and Discrete Inequalities and Their Applications
- Attractors for differential equations with variable delays
- Differential and integral inequalities: Theory and applications. Vol. II: Functional, partial, abstract, and complex differential equations