A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales [PDF]
Entropy, 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
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Parameter identification for gompertz and logistic dynamic equations. [PDF]
PLoS One, 2020 In this paper, we generalize and compare Gompertz and Logistic dynamic equations in order to describe the growth patterns of bacteria and tumor. First of all, we introduce two types of Gompertz equations, where the first type 4-paramater and 3-parameter ...
Akın E, Pelen NN, Tiryaki IU, Yalcin F.
europepmc +2 more sources
Oscillation criteria for third-order functional half-linear dynamic equations
Advances in Difference Equations, 2017 In this paper, we study the third-order functional dynamic equation { r 2 ( t ) ϕ α 2 ( [ r 1 ( t ) ϕ α 1 ( x Δ ( t ) ) ] Δ ) } Δ + q ( t ) ϕ α ( x ( g ( t ) ) ) = 0 , $$ \bigl\{ r_{2}(t)\phi_{\alpha_{2}} \bigl( \bigl[ r_{1}(t) \phi _{\alpha _{1}} \bigl(
Taher S Hassan +2 more
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Numerical Solution of the Symmetric Water Impact of a Wedge Considering Dynamic Equations of Motion
International Journal of Maritime Technology, 2013 In this research, numerical simulation of a symmetric impact of a 2-D wedge, considering dynamic equations in two-phase flow is taken into account. The two-phase flow around the wedge is solved based on finite volume method and volume of fluid (VOF ...
Amir Nikseresht +1 more
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New properties of the time-scale fractional operators with application to dynamic equations [PDF]
Mathematica 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
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Qualitative Theory of Differential Equations, Difference Equations, and Dynamic Equations on Time Scales [PDF]
The Scientific World Journal, 2016 Tongxing Li +4 more
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Dynamic Analysis of Bottom Subsidence of Benthic Lander
Journal 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
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Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations
Mathematics, 2022 In this work, we develop enhanced Hille-type oscillation conditions for arbitrary-time, second-order quasilinear functional dynamic equations. These findings extend and improve previous research that has been published in the literature.
T. Hassan +3 more
semanticscholar +1 more source
Dynamic Modeling and Solution of 6-DOF Parallel Mechanism
IEEE 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
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Proximal and Sparse Resolution of Constrained Dynamic Equations
Robotics: Science and Systems, 2021 —Control of robots with kinematic constraints like loop-closure constraints or interactions with the environment requires solving the underlying constrained dynamics equations of motion.
Justin Carpentier +2 more
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