An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems
From MaRDI portal
Publication:2090445
DOI10.3934/dcdss.2021162zbMath1497.34105OpenAlexW4206334799WikidataQ115219123 ScholiaQ115219123MaRDI QIDQ2090445
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021162
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
Related Items (10)
Hyers-Ulam stability of linear quaternion-valued differential equations with constant coefficients via Fourier transform ⋮ Relative Controllability of Quaternion Differential Equations with Delay ⋮ Hyers-Ulam stability to linear nonhomogeneous quaternion-valued matrix difference equations via complex representation ⋮ Boundary value problems of quaternion-valued differential equations: solvability and Green's function ⋮ Hyers-Ulam stability of linear homogeneous quaternion-valued difference equations ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ A note on quaternion linear dynamical systems ⋮ Unnamed Item ⋮ Existence of periodic solutions to quaternion-valued impulsive differential equations ⋮ Hyers-Ulam stability of linear recurrence with constant coefficients over the quaternion skew yield
Cites Work
- Unnamed Item
- Global structure of quaternion polynomial differential equations
- Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
- Quaternionic-valued ordinary differential equations. II: Coinciding sectors
- Quaternionic-valued ordinary differential equations. The Riccati equation
- Quaternionic quantum field theory
- Inverse matrix and properties of double determinant over quaternion field
- Introduction to fuzzy partial differential equations
- A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations
- Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems
- Traveling wave solutions of generalized Dullin-Gottwald-Holm equation with parabolic law nonlinearity
- Quaternion-valued linear impulsive differential equations
- Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
- Stabilization of stochastic delayed systems: event-triggered impulsive control
- A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system
- Floquet theory for quaternion-valued differential equations
- Persistent impulsive effects on stability of functional differential equations with finite or infinite delay
- Periodic solutions of quaternionic-valued ordinary differential equations
- Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency
- Holomorphic structures in hydrodynamical models of nearly geostrophic flow
- Zeros of a Class of Transcendental Equation with Application to Bifurcation of DDE
- Delay time in quaternionic quantum mechanics
- One-dimensional quaternion homogeneous polynomial differential equations
- Quaternions and particle dynamics in the Euler fluid equations
- Definition of determinant and cramer solutions over the quaternion field
- Quaternionic potentials in non-relativistic quantum mechanics
- Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
- Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
- Examples of quaternionic and Kähler structures in Hamiltonian models of nearly geostrophic flow
- Solving simple quaternionic differential equations
- Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales
- Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
This page was built for publication: An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems