Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy

DOI10.1007/978-3-319-26630-5_4zbMath1419.34133OpenAlexW2474364083MaRDI QIDQ5223305

JinRong Wang, Yong Zhou, Michal Fečkan

Publication date: 17 July 2019

Published in: Mathematical Modeling and Applications in Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-26630-5_4

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05)

Related Items (14)

Stability analysis for a general class of non-instantaneous impulsive differential equations ⋮ Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations ⋮ A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces ⋮ Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations ⋮ Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations ⋮ P-moment exponential stability of Caputo fractional differential equations with noninstantaneous random impulses ⋮ Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations ⋮ Differential equations with random gamma distributed moments of non-instantaneous impulses and \(\mathrm{p}\)-moment exponential stability ⋮ A Generalized Coupled System of Impulsive Integro-Differential Evolution Equations with Mutual Boundary Values ⋮ Hyers-Ulam stability result for Hilfer fractional integrodifferential stochastic equations with fractional noises and non-instantaneous impulses ⋮ Optimal control of noninstantaneous impulsive differential equations ⋮ Unnamed Item ⋮ Robustness for linear evolution equations with non-instantaneous impulsive effects ⋮ Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions

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