Existence of periodic solutions to quaternion-valued impulsive differential equations

DOI10.1007/s12346-022-00693-9OpenAlexW4310276323MaRDI QIDQ2111052

Michal Fečkan, Leping Suo, JinRong Wang

Publication date: 23 December 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00693-9

zbMATH Keywords

periodic solutionsimpulsive differential equationsquaternion-valued

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Quaternionic functional analysis (46S05)

Related Items (3)

Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients
• Solving quaternion ordinary differential equations with two-sided coefficients
• Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems
• Quaternion-valued linear impulsive differential equations
• On the stability of linear quaternion-valued differential equations
• An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems
• Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: direct quaternion method
• Floquet theory for quaternion-valued differential equations
• Periodic solutions of quaternionic-valued ordinary differential equations
• One-dimensional quaternion homogeneous polynomial differential equations
• Laplace transform: a new approach in solving linear quaternion differential equations
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

This page was built for publication: Existence of periodic solutions to quaternion-valued impulsive differential equations