Periodic solutions of a singularly perturbed delay differential equation

Mohit H. Adhikari; Evangelos A. Coutsias; John K. McIver

doi:10.1016/j.physd.2008.07.019

Periodic solutions of a singularly perturbed delay differential equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2008.07.019 ◽

2008 ◽

Vol 237 (24) ◽

pp. 3307-3321 ◽

Cited By ~ 7

Author(s):

Mohit H. Adhikari ◽

Evangelos A. Coutsias ◽

John K. McIver

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Delay Differential

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Periodic solutions and stability for a singularly perturbed linear delay differential equation

Nonlinear Analysis ◽

10.1016/j.na.2006.08.004 ◽

2007 ◽

Vol 67 (6) ◽

pp. 1657-1667 ◽

Cited By ~ 3

Author(s):

José H. da Cruz ◽

Plácido Z. Táboas

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Linear Delay ◽

Delay Differential

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Periodic Solutions of a Singularly Perturbed Delay Differential Equation with Two State-Dependent Delays

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-015-9484-4 ◽

2015 ◽

Vol 28 (3-4) ◽

pp. 1215-1263 ◽

Cited By ~ 3

Author(s):

A. R. Humphries ◽

D. A. Bernucci ◽

R. C. Calleja ◽

N. Homayounfar ◽

M. Snarski

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

State Dependent ◽

Delay Differential

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Bifurcation of periodic solutions of singularly perturbed delay differential equation

10.31274/rtd-180813-12878 ◽

1988 ◽

Author(s):

Abdullah Jamil Tamraz

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Delay Differential

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Numerical method for a boundary value problem for a linear singularly perturbed parabolic delay differential equation of reaction-diffusion type with discontinuous source term

Journal of Physics Conference Series ◽

10.1088/1742-6596/1850/1/012063 ◽

2021 ◽

Vol 1850 (1) ◽

pp. 012063

Author(s):

Parthiban Saminathan ◽

Franklin Victor

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equation ◽

Source Term ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Delay Differential

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Periodic solutions and their bifurcations in a non-smooth second-order delay differential equation

Dynamical Systems ◽

10.1080/14689360500539363 ◽

2006 ◽

Vol 21 (3) ◽

pp. 289-311 ◽

Cited By ~ 12

Author(s):

David A. W. Barton ◽

Bernd Krauskopf ◽

R. Eddie Wilson

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Second Order ◽

Delay Differential

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Periodic solutions and chaos in a delay-differential equation modelling haematopoesis

Nonlinear Analysis ◽

10.1016/0362-546x(83)90047-0 ◽

1983 ◽

Vol 7 (6) ◽

pp. 623-660 ◽

Cited By ~ 12

Author(s):

H.C. Morris ◽

E.E. Ryan ◽

R.K. Dodd

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Equation Modelling ◽

Delay Differential

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A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.10.027 ◽

2017 ◽

Vol 296 ◽

pp. 101-115 ◽

Cited By ~ 1

Author(s):

P. Avudai Selvi ◽

N. Ramanujam

Keyword(s):

Differential Equation ◽

Boundary Condition ◽

Difference Scheme ◽

Delay Differential Equation ◽

Singularly Perturbed ◽

Type Boundary ◽

Delay Differential ◽

Type Boundary Condition

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Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2009.m8015 ◽

2010 ◽

Vol 3 (1) ◽

pp. 1-22 ◽

Cited By ~ 17

Author(s):

Jugal Mohapatra and Srinivasan Natesan

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Uniform Convergence ◽

Convergence Analysis ◽

Delay Differential Equation ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Delay Differential

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Periodic solutions of a class of impulsive neutral delay differential equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.031 ◽

2012 ◽

Vol 219 (8) ◽

pp. 3947-3955 ◽

Cited By ~ 3

Author(s):

Xiao-Ke Sun ◽

Hai-Feng Huo ◽

Cao-Chuan Ma

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Neutral Delay ◽

Neutral Delay Differential Equation ◽

Delay Differential

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A Second-Order Delay Differential Equation with Multiple Periodic Solutions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6196 ◽

1999 ◽

Vol 229 (2) ◽

pp. 659-676 ◽

Cited By ~ 12

Author(s):

Joseph Wiener

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Delay Differential Equation ◽

Second Order ◽

Multiple Periodic Solutions ◽

Delay Differential

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