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Strict and non-strict inequalities for implicit first order causal differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, some fundamental differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established.
Bapurao Dhage
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Resolvent estimates for 2-dimensional perturbations of plane Couette flow
Electronic Journal of Differential Equations, 2002 We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
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Construction of stochastic differential equations of motion in canonical variables [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Galiullin proposed a classification of inverse problems of dynamics for the class of ordinary differential equations (ODE). Considered problem belongs to the first type of inverse problems of dynamics (of the three main types of inverse problems of ...
M.I. Tleubergenov +2 more
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Numerical and asymptotic flow stability analysis of vortex structures [PDF]
E3S Web of Conferences, 2021 Stability problem of an axisymmetric swirling flow of a viscous incompressible fluid with respect to nonaxisymmetric perturbations is considered. The system of ordinary differential equations for the amplitude functions is solved numerically by the Runge-
Akhmetov Vadim
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Asymptotic forms of solutions of perturbed half-linear ordinary differential equations [PDF]
Archivum Mathematicum, 2021 Consider the following two differential equations on \([0,\infty)\): \((E_+)\) \(\quad (|u^{\prime}|^{\alpha -1}u^{\prime})^{\prime}=\alpha (1+p(t))|u|^{\alpha -1}u,\) \((E_-)\) \(\quad (|u^{\prime}|^{\alpha -1}u^{\prime})^{\prime}=\alpha (1-p(t))|u|^{\alpha -1}u,\) where \(\alpha\) is a positive constant; \(p\in C[0,\infty)\) with \(p(t)\ge 0\) for \((
Luey, Sokea, Usami, Hiroyuki
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Linear perturbations of ordinary differential equations [PDF]
Proceedings of the American Mathematical Society, 1970 We present several results dealing with the problem of the preservation of the stability of a system x ′ = A ( t ) x x’ = A(t)x which is subject to linear perturbations B ( t ) x B(t)x , or to perturbations ...
Strauss, Aaron, Yorke, James A.
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Perturbation of domain: ordinary differential equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2002 We study a boundary perturbation problem for a one-dimensional Schrödinger equation in which the potential has a regular singularity near the perturbed end point. We give the asymptotic behaviour of the eigenvalues under the perturbation. This problem arose out of the author's studies of singular elliptic operators in higher dimensions and we ...
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Asymptotic behaviour of solutions of quasilinear differential-algebraic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations (DAEs) under small nonlinear perturbations.
Vu Hoang Linh, Ngo Nga, Nguyen Tuan
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1 + 3 covariant perturbations in power-law f(R) gravity
European Physical Journal C: Particles and Fields, 2021 We applied the 1+3 covariant approach around the Friedmann–Lemaître–Robertson–Walker (FLRW) background, together with the equivalence between f(R) gravity and scalar-tensor theory to study cosmological perturbations.
Beatrice Murorunkwere +2 more
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Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation [PDF]
SIAM Journal on Mathematical Analysis, 2021 We consider state-dependent delay equations (SDDE) obtained by adding delays to a planar ordinary differential equation with a limit cycle. These situations appear in models of several physical processes, where small delay effects are added. Even if the delays are small, they are very singular perturbations since the natural phase space of an SDDE is ...
Jiaqi Yang +2 more
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