Nonlinear first-order periodic boundary-value problems of impulsive dynamic equations on time scales
Electronic Journal of Differential Equations, 2012 By using the fixed point theorem in cones, in this paper, existence criteria for single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. An
Wen Guan, Dun-Gang Li, Shuang-Hong Ma
doaj
Smoothing Before Estimating Uncertainty, Scaling, and Intermittency: Application to Short Heart Rate Signals [PDF]
arXiv, 2003 Three aspects of time series are uncertainty (dispersion at a given time scale), scaling (time-scale dependence), and intermittency (inclination to change dynamics). Simple measures of dispersion are the mean absolute deviation and the standard deviation; scaling exponents describe how dispersions change with the time scale.
arxiv
Existence of solutions for four-point resonance boundary-value problems on time scales
Electronic Journal of Differential Equations, 2015 By using Mawhin's continuation theorem, we prove the existence of solutions for a class of multi-point boundary-value problem under different resonance conditions on time scales.
Ning Wang, Hui Zhou, Liu Yang
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A Scale-Separated Approach for Studying Coupled Ion and Electron Scale Turbulence [PDF]
, 2019 Multiple space and time scales arise in plasma turbulence in magnetic confinement fusion devices because of the smallness of the square root of the electron-to-ion mass ratio $(m_e/m_i)^{1/2}$ and the consequent disparity of the ion and electron thermal gyroradii and thermal speeds.
arxiv +1 more source
Almost automorphic funtions on time scales and almost automorphic solutions to shunting inhibitory cellular neural networks on time scales [PDF]
J. Nonlinear Sci. Appl. 8 (2015), 1190-1211, 2015 In this paper, we first propose a new concept of almost periodic time scales, a new definition of almost automorphic functions on almost periodic time scales, and study some their basic properties. Then we prove a result ensuring the existence of an almost automorphic solution for both the linear nonhomogeneous dynamic equation on time scales and its ...
arxiv
Searching for long time scales without fine tuning [PDF]
arXiv, 2020 Most of animal and human behavior occurs on time scales much longer than the response times of individual neurons. In many cases, it is plausible that these long time scales emerge from the recurrent dynamics of electrical activity in networks of neurons.
arxiv
Martingale Decomposition and BSDE on Time Scales [PDF]
arXiv, 2020 In this paper, we present martingale decomposition on time scales. We establish the related backward stochastic dynamic equations on time scales (this paper BS$\nabla$E for short, concerning $\nabla$-integral on time scales) which unify backward stochastic differential equations and backward stochastic difference equations.
arxiv
On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
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Large scales space-time waves from inflation with time dependent cosmological parameter [PDF]
arXiv, 2020 We study the emission of large-scales wavelength space-time waves during the inflationary expansion of the universe, produced by back-reaction effects. As an example, we study an inflationary model with variable time scale, where the scale factor of the universe grows as a power of time.
arxiv
Oscillatory behavior of higher-order neutral type dynamic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 The oscillation behavior of solutions for higher-order delay dynamic equations of neutral type is investigated by making use of comparison with second-order dynamic equations.
Said Grace, Raziye Mert, Agacik Zafer
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