Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems

DOI10.1007/s11424-017-6158-9zbMath1401.34026OpenAlexW2771542322MaRDI QIDQ1794288

Jitao Sun, Jingwen Zhu

Publication date: 15 October 2018

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-017-6158-9

zbMATH Keywords

differential equationsexistence and uniquenessimpulsive systemquaternion-valued

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (8)

Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales ⋮ Stability of quaternion-valued impulsive differential equations ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial ⋮ Quaternion-valued linear impulsive differential equations ⋮ An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems ⋮ Basic Theory of Impulsive Quaternion-Valued Linear Systems ⋮ Existence of periodic solutions to quaternion-valued impulsive differential equations

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