Results 61 to 70 of about 5,356 (162)
The case of equality in Landau's problem
International Journal of Mathematics and Mathematical Sciences, 2005 Kolmogorov (1949) determined the best possible constant Kn,m for the inequality Mm(f)≤Kn,mM0(n−m)/n(f)Mnm/n(f ...
G. W. Hagerty, P. Nag
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Nonlinear Analysis, 2019 In this paper, we establish the existence of decay mild solutions on an unbounded interval of nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and involving the Hilfer derivative.
JinRong Wang +2 more
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Piecewise smooth one dimensional maps with nowhere vanishing derivative
, 1996 We consider the dynamics of `nonlinear tent maps': piecewise smooth unimodal maps with nowhere vanishing derivative. We show that if a nonlinear tent map $f$ is not infinitely renormalizable, then all its periodic orbits of sufficiently high period are hyperbolic repelling. If additionally all periodic orbits of $f$ are hyperbolic, then $f$ has at most
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Stability of solutions to impulsive Caputo fractional differential equations
Electronic Journal of Differential Equations, 2016 Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal +2 more
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Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives
Fractal and FractionalThis paper investigates a general class of variable-kernel discrete delay differential equations (DDDEs) with integral boundary conditions and impulsive effects, analyzed using Caputo piecewise derivatives. We establish results for the existence and uniqueness of solutions, as well as their stability.
Hicham Saber +6 more
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On rotavirus infectious disease model using piecewise modified $ ABC $ fractional order derivative
Networks and Heterogeneous Media<abstract><p>The goal of this manuscript is to use a mathematical model with four compartments to examine the positive effects of rotavirus vaccinations. Susceptible, vaccinated, infected, and recovered (SVIR) classes are included in the suggested model.
Eiman +3 more
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Computing the Bouligand derivative of a class of piecewise-differentiable flows
, 2016 Event--selected $C^r$ vector fields yield piecewise-differentiable flows, which possess a continuous and piecewise-linear Bouligand (or B-)derivative; here we provide an algorithm for computing this B-derivative. The number of "pieces" of the piecewise-linear B-derivative is factorial ($d!$) in the dimension ($d$) of the space, precluding a polynomial ...
Revzen, Shai, Burden, Samuel A
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Estimates for Piecewise Linear Approximation of Derivative Functions of Sobolev Classes
The Bulletin of Irkutsk State University. Series MathematicsThe article considers the problem of estimating the error in calculating the gradient of functions of Sobolev classes for piecewise linear approximation on triangulations. Traditionally, problems of this kind are considered for continuously differentiable functions.
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Modeling Ebola Dynamics with a Φ-Piecewise Hybrid Fractional Derivative Approach
Fractal and FractionalEbola virus disease (EVD) is a severe and often fatal illness posing significant public health challenges. This study investigates EVD transmission dynamics using a novel fractional mathematical model with five distinct compartments: individuals with low susceptibility (S1), individuals with high susceptibility (S2), infected individuals (I), exposed ...
Tariq Alraqad +5 more
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Automated Segmentation Of Ecg Signals Using Piecewise Derivative Dynamic Time Warping
, 2008 {"references": ["Kaushik Chakrabarti, Eamonn J. Keogh, Sharad Mehrotra, Michael J.\nPazzani: \"Locally adaptive dimensionality reduction for indexing large\ntime series databases.\" ACM Trans. Database Syst. 27: 188-228 ,2002.", "P. Laguna, R. JanB, and P.
Zifan, Ali +3 more
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