Results 21 to 30 of about 1,301,601 (206)
Exponentially fitted tension spline method for singularly perturbed differential difference equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In this article, singularly perturbed differential difference equations having delay and advance in the reaction terms are considered. The highest-order derivative term of the equation is multiplied by a perturbation parameter ε taking arbitrary values ...
M.M. Woldaregay, G.F. Duressa
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Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball [PDF]
, 2004 In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M +5 more
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Journal of Applied Mathematics, 2014 We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface ...
Changming Song, Jina Li, Ran Gao
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The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations [PDF]
, 2012 Link to a related website: https://digital.library.adelaide.edu.au/dspace/bitstream/2440/77907/1/hdl_77907.pdf, Open Access via UnpaywallThis paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control ...
Shi, Peng +5 more
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Melnikov Analysis for a Singularly Perturbed DSII Equation [PDF]
Studies in Applied Mathematics, 2005 Rigorous Melnikov analysis is accomplished for Davey–Stewartson II equation under singular perturbation. Unstable fiber theorem and center‐stable manifold theorem are established. The fact that the unperturbed homoclinic orbit, obtained via a Darboux transformation, is a classical solution, leads to the conclusion that only local well posedness is ...
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On the Singularly Perturbed Matrix Differential Riccati Equation [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2006 In this paper, the finite-time optimal control problem for time-invariant linear singularly perturbed systems is considered. The reduced-order pure-slow and pure-fast matrix differential Riccati equations are obtained by decoupling the singularly perturbed differential matrix Riccati equation of dimension n 1 + n 2 into the regular differential matrix ...
Zoran Gajic +2 more
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Partial Differential Equations in Applied Mathematics, 2023 A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme.
Naol Tufa Negero
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Exponential stability for singularly perturbed systems with state delays
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
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Ain Shams Engineering Journal, 2017 This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy +2 more
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Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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