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MathematicsA geometric-analytic approach to studying invariants of solvable nonlinear ordinary differential equations is developed. In particular, there is described in detail a general scheme of constructing solvable nonlinear ordinary differential equations ...
Anatolij K. Prykarpatski +4 more
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Nonlinear Spectra for Parameter Dependent Ordinary Differential Equations
Nonlinear Analysis, 2007 Eigenvalue problems of the form x 00 = −λf(x) + µg(x), (i), x(0) = 0, x(1) = 0 (ii) are considered. We are looking for (λ, µ) such that the problem (i), (ii) has a nontrivial solution.
F. Sadyrbaev, A. Gritsans
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Behavior of Solutions of a Nonlinear Ordinary Differential Equation
Journal of Mathematical Analysis and Applications, 1998 The authors consider positive solutions to initial value problems \[ (\omega^{-\beta} \omega')'- {y\over\beta +2}\omega' +{1\over \beta+2} \omega=0,\;y>0 \tag{*} \] \[ \omega(0) =\eta,\quad \omega' (0)=1, \tag{**} \] where ...
Deng, Keng, Xu, Mingxi
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Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics, 2021 By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional ...
Chao Yue +3 more
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A boundary value problem for nonlinear differential equation with arbitrary functions
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 This article describes a semi-batch nonlinear boundary value problem for differential equations with partial derivatives. The equations containing arbitrary parameters were considered in Whitham G.B.
N. T. Orumbayeva, G. Sabitbekova
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Abstract and Applied Analysis, 2013 An adaptive wavelet precise integration method (WPIM) based on the variational iteration method (VIM) for Black-Scholes model is proposed. Black-Scholes model is a very useful tool on pricing options.
Huahong Yan
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Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2
上海师范大学学报. 自然科学版, 2015 This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
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Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
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Mixed convection flow of MHD Eyring-Powell nanofluid over a stretching sheet: A numerical study
AIP Advances, 2015 In the present analysis incompressible two dimensional mixed convection flow of MHD Eyring-Powell nanofluid over a stretching sheet is investigated numerically.
M. Y. Malik +3 more
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Neural Ordinary Differential Equations for Nonlinear System Identification
2022 American Control Conference (ACC), 2022 Neural ordinary differential equations (NODE) have been recently proposed as a promising approach for nonlinear system identification tasks. In this work, we systematically compare their predictive performance with current state-of-the-art nonlinear and classical linear methods.
Aowabin Rahman +3 more
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