Results 111 to 120 of about 4,284 (195)
Oscillatory and nonoscillatory solutions of neutral differential equations [PDF]
Annales Polonici Mathematici, 2000 Consider the neutral differential equation \[ {d^n\over dt^n} \bigl[x(t)+ \lambda x(t-\tau) \bigr]+f\biggl( t,x\bigl(g(t) \bigr)\biggr) =0 \] with \(\lambda>0\), \(\tau>0\), \(g\in C([t_0,\infty))\), \(\lim_{t\to \infty} g(t)= \infty\), \(f\in C([t_0,\infty)\times\mathbb{R})\) and \(|f(t,u) |\leq F(t, |u|)\) where \(F\) is a continuous and ...
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Journal of Applied Mathematics, 2012 This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. The exponential θ-method is applied to p′(t)=β0ωμp(t−τ)/(ωμ+pμ(t−τ))−γp(t) and it is shown that the exponential
Qi Wang, Jiechang Wen
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An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments
, 2017 We describe a method for the rapid numerical evaluation of the Bessel functions of the first and second kinds of nonnegative real orders and positive arguments.
Bremer, James
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On the numerical solution of second order differential equations in the high-frequency regime
, 2014 We describe an algorithm for the numerical solution of second order linear differential equations in the highly-oscillatory regime. It is founded on the recent observation that the solutions of equations of this type can be accurately represented using ...
Bremer, James
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Journal of Taibah University for Science, 2019 Some sufficient conditions are provided for the existence of nonoscillatory solutions of nonlinear second-order neutral differential equations with distributed deviating arguments. The main tool for proving our results is the Banach contraction principle.
M. Tamer Şenel, T. Candan, B. Çına
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Diverse role of decoys on emergence and precision of oscillations in a biomolecular clock. [PDF]
Biophys J, 2021 Dey S, Singh A.
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Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales
Advances in Difference Equations, 2019 In this paper, we present some sufficient conditions and necessary conditions for the existence of nonoscillatory solutions to a class of fourth-order nonlinear neutral dynamic equations on time scales by employing Banach spaces and Krasnoselskii’s fixed
Yang-Cong Qiu
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Some Aspects of Essentially Nonoscillatory (ENO) Formulations for the Euler Equations, Part 3 [PDF]
An essentially nonoscillatory (ENO) formulation is described for hyperbolic systems of conservation laws. ENO approaches are based on smart interpolation to avoid spurious numerical oscillations. ENO schemes are a superset of Total Variation Diminishing (
Chakravarthy, Sukumar R.
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Simulation of Fixed-Bed Chromatographic Processes Considering the Nonlinear Adsorption Isotherms. [PDF]
ACS Omega, 2023 Khan A, Qamar S.
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Improved estimates for nonoscillatory phase functions
, 2015 Recently, it was observed that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions.
Bremer, James, Rokhlin, Vladimir
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