Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments

DOI10.1186/s13662-020-02699-6zbMath1482.34171OpenAlexW3031378268MaRDI QIDQ2078437

Xin Ma, Yong Wang, Zonghong Feng

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02699-6

zbMATH Keywords

exponential dichotomyasymptotically almost periodicdifferential equations with piecewise constant argumentsBanach contraction fixed point theorem

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)

Related Items (2)

Approximation of mild solutions of delay integro-differential equations on Banach spaces ⋮ CONVERGENCE AND STABILITY OF GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS OF ADVANCED TYPE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on Cauchy-Lipschitz-Picard theorem
• Almost automorphic solutions for differential equations with piecewise constant argument in a Banach space
• Nonlinear hybrid continuous/discrete-time models
• Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
• Advanced differential equations with piecewise constant argument deviations
• Oscillations in systems of differential equations with piecewise constant argument
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• Almost periodic solutions of differential equations with piecewise constant argument of generalized type
• Almost periodic differential equations
• The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
• Flow modeling of well test analysis for a multiple-fractured horizontal well in triple media carbonate reservoir
• Almost periodic and asymptotically almost periodic functions. I
• Dynamics of a stochastic heroin epidemic model
• On almost periodicity of solutions of second-order differential equations involving reflection of the argument
• Oscillation criteria for delay and advanced differential equations with nonmonotone arguments
• A novel grey Bernoulli model for short-term natural gas consumption forecasting
• New approach to global Mittag-Leffler synchronization problem of fractional-order quaternion-valued BAM neural networks based on a new inequality
• Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
• The novel fractional discrete multivariate grey system model and its applications
• Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations
• Controllability and observability for a linear time varying system with piecewise constant delay
• Exponential stability and periodic solutions of impulsive neural network models with piecewise constant argument
• Stability of differential equations with piecewise constant arguments of generalized type
• Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument
• Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
• Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments
• Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
• ON CERTAIN PROBLEMS IN THE THEORY OF DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT
• Exponential dichotomy, topological equivalence and structural stability for differential equations with piecewise constant argument
• Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size
• Stability of a Mathematical Model with Piecewise Constant Arguments for Tumor-Immune Interaction Under Drug Therapy
• Some Results Concerning a Class of Differential Equations with Piecewise Constant Argument
• Multiple solutions for a modified Kirchhoff‐type equation in R^N
• Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments
• Existence and Stability of Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Argument
• The existence of almost periodic solutions for a class of differential equations with piecewise constant argument
• MODELLING AND STABILITY OF EPIDEMIC MODEL WITH FREE-LIVING PATHOGENS GROWING IN THE ENVIRONMENT
• ASYMPTOTIC BEHAVIOR OF A STOCHASTIC VIRUS DYNAMICS MODEL WITH INTRACELLULAR DELAY AND HUMORAL IMMUNITY
• Global attractivity for a logistic equation with piecewise constant argument
• Almost-periodic-type solutions of some differential equations with piecewise constant argument
• Dynamic analysis of oil‐water two‐phase flow for a multiple‐fractured horizontal well with multiple finite‐conductivity fractures in triple media carbonate reservoir

This page was built for publication: Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments