Quaternion-valued dynamic equations and Henstock-Kurzweil delta-integrals on time scales: a survey
From MaRDI portal
Publication:6197763
DOI10.1007/s10958-024-06976-7MaRDI QIDQ6197763
Chao Wang, Guangzhou Qin, Ravi P. Agarwal
Publication date: 19 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Denjoy and Perron integrals, other special integrals (26A39) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70) Quaternionic functional analysis (46S05)
Cites Work
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- Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales
- Periodicity, almost periodicity for time scales and related functions
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Henstock-Kurzweil delta and nabla integrals
- On Henstock--Kurzweil and McShane integrals of Banach space-valued functions
- Basic calculus on time scales and some of its applications
- Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales
- Changing-periodic time scales and decomposition theorems of time scales with applications to functions with local almost periodicity and automorphy
- Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations
- Compactness criteria and new impulsive functional dynamic equations on time scales
- Uniformly \(rd\)-piecewise almost periodic functions with applications to the analysis of impulsive \(\Delta\)-dynamic system on time scales
- A matched space for time scales and applications to the study on functions
- Complete-closed time scales under shifts and related functions
- A further study of almost periodic time scales with some notes and applications
- Theory of translation closedness for time scales. With applications in translation functions and dynamic equations
- Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model
- Weighted pseudo \(\delta\)-almost automorphic functions and abstract dynamic equations
- A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations
- Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales
- Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales
- Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales
- Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
- Almost periodic dynamics for impulsive delay neural networks of a general type on almost periodic time scales
- Lebesgue-Stieltjes combined \(\Diamond_\alpha\)-measure and integral on time scales
- Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations
- Almost periodic solutions of impulsive BAM neural networks with variable delays on time scales
- Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales
- Almost periodic solution for a new type of neutral impulsive stochastic Lasota-Wazewska timescale model
- Almost periodic fuzzy multidimensional dynamic systems and applications on time scales
- Exponential dichotomies of impulsive dynamic systems with applications on time scales
- A classification of time scales and analysis of the general delays on time scales with applications
- Brownian motion in the framework of quaternion analysis
- Boundedness and oscillation for nonlinear dynamic equations on a time scale
- Local-periodic solutions for functional dynamic equations with infinite delay on changing-periodic time scales
- Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations
- n0-order Δ-almost periodic functions and dynamic equations
- Basics of Riemann Delta and Nabla Integration on Time Scales
- Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales
- C 0-Semigroup and Stepanov-Like Almost Automorphic Functions in Matched Spaces of Time Scales
- ⋄α-Measurability and combined measure theory on time scales
- A computation method of Hausdorff distance for translation time scales
- General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial
- Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations
- Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales