Asymptotics for Functions Associated with Heat Flow on the Sierpinski Carpet by Hambly, B

“…For all these functions the leading term is of the form xγφ(log x) for a suitable exponent γ and φ a periodic function. We also discuss similar results for the heat content of affine nested fractals. © Canadian Mathematical Society 2010.…”

Discrete spline interpolation and its applications by Chen, Fengmin

“…The treatment is then extended to a periodic function $f(t,u)$ defined on a discrete rectangle, here we establish the two-variable periodic discrete spline interpolant and also provide the error analysis. …”
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A Protection Algorithm of Filtering Decaying DC Component by QI Yan, HE Ren-wang, WU Xu

“…When input signal contains decaying DC component, full-wave Fourier algorithm based on periodic function will lead to larger error. To solve the problem, the paper proposed an improved algorithm based on full-wave Fourier algorithm. …”
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Subharmonic bouncing solutions of generalized Lazer–Solimini equation by Jan Tomeček, Věra Krajščáková

“…The paper deals with the singular differential equation $x'' + g(x) = p(t)$, with $g$ having a weak singularity at $x=0$ and $2\pi$-periodic function $p$. For any positive integers $m$ and $n$, the coexistence of $2m\pi$-periodic bouncing solutions having $n$ impacts with the singularity and a~classical positive periodic solution is proven.…”
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The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation by Yusuf Pandir, Tolga Akturk, Yusuf Gurefe, Hussain Juya

“…It is seen that the method used is an effective technique, since these solution functions obtained with all these cases have periodic function properties.…”
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On Offset Boosting in Chaotic System by Yicheng Jiang, Chunbiao Li, Xu Ma

“…The other one is by the means of periodic function or absolute value function where a specific initial condition can extract out any self-reproduced or doubled attractor with different offset. …”
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New periodic exact traveling wave solutions of Camassa–Holm equation by Guoping Zhang

“…As an example a periodic traveling wave (or wavetrain), a special type of spatiotemporal oscillation that is a periodic function of both space and time, plays a fundamental role in many mathematical equations such as shallow water wave equations. …”
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Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes by Kong Zhaoyi, Li Fan

“…Vibration source, time-varying transmission path and multistage transmission gear vibration frequency characteristics are considered comprehensively, an equivalent time-varying transmission path function from the meshing point to the accelerometer mounted on the ring tooth is proposed and the time-varying transmission path is modeled as having different periodic function of decay amplitude. Taking the multistage transmission gearbox as an example, the validity of the proposed mathematical model is verified by simulation and experiment. …”
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Spin geometric phases in hopping magnetoconductance by O. Entin-Wohlman, A. Aharony

“…Therefore, although the magnetoconductance is an even function of the magnetic field, it is not a periodic function of it, and the widely used concept of a phase shift in the Aharonov-Bohm oscillations, as indicated in previous work, is not applicable. …”
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New estimates related with the best polynomial approximation by Jorge Bustamante

“…We also study the same problem in spaces of non-periodic functions with a Jacobi weight. …”
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Eigenvalue approximations for linear periodic differential equations with a singularity by B. J. Harris, F. Marzano

“…We consider the second order, linear differential equation \begin{equation*}y''(x) + (\lambda.q(x)) y(x) = 0 \tag{1}\end{equation*} where $q$ is a real-valued, periodic function with period a. Our object in this paper is to derive asymptotic estimates for the eigenvalues of (1) on $[0;a]$ with periodic and semi­periodic boundary conditions. …”
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A full analytic treatment of reversible linear-scan voltammetry with square-wave modulation by Oldham, K, Gavaghan, D, Bond, A

“…In the former, it consists of a periodic function, displaying spikes whenever the square wave experiences a sign change. …”

Ground states of a Kirchhoff equation with the potential on the lattice graphs by Wenqian Lv

“…Moreover, we extend the result to noncompact cases in which $ V $ is a periodic function or a bounded potential well.</p>…”
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Pendugaan Fungsi Intensitas Proses Poisson Periodik dengan Tren Fungsi Pangkat Menggunakan Metode Tipe Kernel by Ro’fah Nur Rachmawati

“…A special form of stochastic process with continuous time and discrete state space is periodic Poisson process, which is a Poisson process with an intensity function of a periodic function. However, on the stochastic modeling of a phenomenon by a periodic Poisson process, the intensity function of the process is generally unknown. …”
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Thermophysical, diffusion, and segregation processes in the frictional contact zone by Igor V Kolesnikov

“…The atomic-binding energy of different elements to the grain surface is a periodic function of the atomic numbers of the elements. …”
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Optical soliton solutions for Lakshmanan-Porsezian-Daniel equation with parabolic law nonlinearity by trial function method by Chen Peng, Zhao Li

“…From this ODE, many exact solutions, such as kink solitary wave solutions, bell shaped solitary wave solutions, triangular function solutions, periodic function solutions, singular solutions and Jacobian elliptic function solutions, are retrieved. …”
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Non Asymptotic Sharp Oracle Inequalities for the Improved Model Selection Procedures for the Adaptive Nonparametric Signal Estimation Problem by Evgeny Pchelintsev, Valeriy Pchelintsev, Serguei Pergamenshchikov

“…In this paper, we consider the robust adaptive non parametric estimation problem for the periodic function observed with the Levy noises in continuous time. …”
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Trigonometric interpolation and quadrature in perturbed points by Austin, A, Trefethen, L

“…The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if f is continuous. …”

Frequency scanning using software defined radio for localised range estimation by Yusof, K. Mohamad, Woods, John, Fitz, Steve

“…By comparing the periodic value to a linear periodic function, the distance between sensor node and anchor node can be estimated. …”

Existence conditions for periodic solutions of second-order neutral delay differential equations with piecewise constant arguments by Muminov, M. I., Murid, A. H. M.

“…In this paper, we describe a method to solve the problem of finding periodic solutions for second-order neutral delay-differential equations with piecewise constant arguments of the form x″(t) + px″(t-1) = qx([t]) + f(t), where [-] denotes the greatest integer function, p and q are nonzero real or complex constants, and f(t) is complex valued periodic function. The method reduces the problem to a system of algebraic equations. …”
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