Results 11 to 20 of about 320 (74)
Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1268-1337, November 2023., 2023 Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
wiley +1 more source
Obesity Reviews, Volume 22, Issue 11, November 2021., 2021 Summary The relationship between BMI and health‐related quality of life (HRQoL) critically affects regulatory approval of interventions for weight loss, but evidence of the association is inconsistent. A higher standard of evidence than that available was sought with an IPD meta‐analysis of 10,884 people enrolled in five randomized controlled trials of
John Buckell +4 more
wiley +1 more source
Pell Collocation Pseudo Spectral Scheme for One-Dimensional Time-Fractional Convection Equation with Error Analysis [PDF]
, 2022 In the current manuscript, we implement the collocation method to obtain an approximate solution of one-dimensional time-fractional convection equation. The operational matrices of Pell polynomials are applied to solve the fractional partial differential
A. S. Mohamed
core +1 more source
Abel Fractional Differential Equations Using Variation Of Parameters Method [PDF]
, 2022 The Variation of Parameters Method (VPM) is utilized throughout the research to identify a numerical model for a nonlinear fractional Abel differential equation (FADE).
Prakash, P., Devi, Nithya
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Solution of Abel Integral Equation Using Differential Transform Method [PDF]
, 2018 The application of fractional differential transform method, developed for differential equations of fractional order, are extended to derive exact analytical solutions of fractional order Abel integral equations.
Mondal, Subhabrata +3 more
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Centers of planar generalized Abel equations [PDF]
, 2020 We deal with the differential equation ̇r=dr/dθ=a(θ)rn+b(θ)rm, where (r,θ) are the polar coordinates in the plane R2, m and n are integers such that m > n ≥ 2, and a,b are C1 functions.
Valls, Clàudia, Llibre, Jaume
core +1 more source
Pell Collocation Method for Solving the Nonlinear Time–Fractional Partial Integro–Differential Equation with a Weakly Singular Kernel [PDF]
, 2022 This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative ...
H. Aminikhah, M. Taghipour
core +1 more source
General Solutions with Hidden Variables to the Abel Differential Equation [PDF]
, 2023 Using appropriate transformation, by the coefficient decomposition method, general solutions with hidden variables (parameters) to the Abel differential equation are obtained.
Zhao, Ji-Xiang
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Rational limit cycles of Abel differential equations [PDF]
, 2023 We study the number of rational limit cycles of the Abel equation x A(t)x 3 + B(t)x 2 , where A(t) and B(t) are real trigonometric polynomials.
Calderón Luis Ángel +2 more
core +3 more sources