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Perturbation of Domain: Ordinary Differential Equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000 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 ...
C. Mason
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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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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 ...
Aaron Strauss, James A. Yorke
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Parameterization method for state-dependent delay perturbation of an ordinary differential equation [PDF]
SIAM Journal on Mathematical Analysis, 2020 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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Extended Differential Aggregations in Process Algebra for Performance and Biology [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We study aggregations for ordinary differential equations induced by fluid semantics for Markovian process algebra which can capture the dynamics of performance models and chemical reaction networks. Whilst previous work has required perfect symmetry for
Max Tschaikowski, Mirco Tribastone
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Coordinate-independent singular perturbation reduction for systems with three time scales
Mathematical Biosciences and Engineering, 2019 On the basis of recent work by Cardin and Teixeira on ordinary differential equations with more than two time scales, we devise a coordinate-independent reduction for systems with three time scales; thus no a priori separation of variables into fast ...
Niclas Kruff , Sebastian Walcher
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Bulletin des Sciences Mathématiques, 2012 Abstract We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability and variational asymptotic stability of the zero solution of a class of generalized ordinary differential equations where our impulsive functional differential equations can be embedded ...
Suzete Maria Silva Afonso +3 more
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Spacetime perspective of gravitational lensing in perturbed cosmologies [PDF]
Scientific ReportsWe develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics.
Thomas P. Kling, Sophia MacQueen Pooler
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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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