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A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales [PDF]

open access: yesEntropy, 2021
As an effective tool to unify discrete and continuous analysis, time scale calculus have been widely applied to study dynamic systems in both theoretical and practical aspects. In addition to such a classical role of unification, the dynamic equations on
Chao Wang, Ravi P. Agarwal
doaj   +2 more sources

Sparse learning of stochastic dynamic equations [PDF]

open access: yesThe Journal of Chemical Physics, 2017
With the rapid increase of available data for complex systems, there is great interest in the extraction of physically relevant information from massive datasets.
Boninsegna, Lorenzo   +2 more
core   +5 more sources

New properties of the time-scale fractional operators with application to dynamic equations [PDF]

open access: yesMathematica Moravica, 2021
We introduce new properties of Riemann-Liouville fractional integral and derivative on time scales. As well as sufficient conditions for existence and uniqueness of solution to an initial value problem for a class differential equations on time scales.
Benaissa Cherif Amin   +1 more
doaj   +1 more source

Qualitative Theory of Differential Equations, Difference Equations, and Dynamic Equations on Time Scales [PDF]

open access: yesThe Scientific World Journal, 2016
Tongxing Li   +4 more
doaj   +2 more sources

Oscillation of even order nonlinear dynamic equations on time-scales [PDF]

open access: yesMathematica Moravica, 2022
In this paper, the authors discuss the oscillatory behavior of solutions to a class of even order nonlinear dynamic equations on time scales. The results are established by a comparison with n-th order delay dynamic inequalities or first-order delay ...
Grace Said R., Abbas Syed, Graef John R.
doaj   +1 more source

Dynamic Analysis of Bottom Subsidence of Benthic Lander

open access: yesJournal of Marine Science and Engineering, 2022
The geomorphology of the deep-sea environment is complex, including seamounts based on hard rocks and seabeds based on rare soft sediments. Therefore, the frame of the benthic lander needs to be shock and subsidence resistant.
Zhou Yu   +3 more
doaj   +1 more source

Dynamic Modeling and Solution of 6-DOF Parallel Mechanism

open access: yesIEEE Access, 2022
When a parallel robot used in a scene that requires force control, rapid attitude adjustment, or precise positioning, we need to know the dynamic characteristics of the moving platform and the motion branch, so it is necessary to do the dynamic analysis ...
Xuedong Jing, Cheng Li
doaj   +1 more source

Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations [PDF]

open access: yesOpuscula Mathematica, 2014
In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
Martin Bohner   +2 more
doaj   +1 more source

New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations

open access: yesMathematics, 2022
The objective of this paper is to derive new Hille type and Ohriska type criteria for third-order nonlinear dynamic functional equations in the form of a2(ζ)φα2a1ζφα1xΔ(ζ)ΔΔ+q(ζ)φαx(g(ζ))=0, on a time scale T, where Δ is the forward operator on T, α1, α2,
Taher S. Hassan   +3 more
doaj   +1 more source

Stand site index scale development using the generalized algebraic difference approach [PDF]

open access: yesСибирский лесной журнал, 2022
The basis for forecasting the growth of forest stands is the site index scales. Expansion of knowledge about the processes of functioning of forest ecosystems, the nature of changes in the process of growth of morphological indicators of trees and stands,
A. V. Lebedev, V. V. Kuzmichev
doaj   +1 more source

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