Square wave periodic solutions in a singular differential delay equation

Journal of Coupled Systems and Multiscale Dynamics ◽

10.1166/jcsmd.2018.1152 ◽

2018 ◽

Vol 6 (2) ◽

pp. 136-146

Author(s):

Anatoli F. Ivanov ◽

Erik I. Verriest

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Square Wave ◽

Differential Delay

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Periodic solutions of a differential-delay equation and the fixed point index

Applicable Analysis ◽

10.1080/00036818908839865 ◽

1989 ◽

Vol 33 (1-2) ◽

pp. 119-126 ◽

Author(s):

Steven A. Chapin

Keyword(s):

Fixed Point ◽

Periodic Solutions ◽

Fixed Point Index ◽

Delay Equation ◽

Point Index ◽

Differential Delay Equation ◽

Differential Delay

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Global continuation and complicated trajectories for periodic solutions of a differential-delay equation

Proceedings of Symposia in Pure Mathematics - Nonlinear Functional Analysis and Its Applications ◽

10.1090/pspum/045.2/843604 ◽

1986 ◽

pp. 155-167 ◽

Author(s):

John Mallet-Paret ◽

Roger D. Nussbaum

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay ◽

Global Continuation

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Periodic solutions of a singular differential delay equation with the Farey-type nonlinearity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.10.006 ◽

2005 ◽

Vol 180 (1) ◽

pp. 137-145

Author(s):

Anatoli Ivanov ◽

Eduardo Liz

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Periodic solutions for a prey-predator differential delay equation

Journal of Differential Equations ◽

10.1016/0022-0396(77)90087-0 ◽

1977 ◽

Vol 26 (3) ◽

pp. 391-403 ◽

Author(s):

Anthony Leung

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Periodic solutions of a discretized differential delay equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190902998008 ◽

2010 ◽

Vol 16 (2-3) ◽

pp. 157-171 ◽

Author(s):

Anatoli F. Ivanov ◽

Sergei I. Trofimchuk

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Periodic solutions of the differential delay equation $$\dot x(t) = - f(x(t - 1))$$

Acta Mathematica Sinica English Series ◽

10.1007/bf02108151 ◽

1996 ◽

Vol 12 (2) ◽

pp. 113-121 ◽

Author(s):

Ge Weigao

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Global Dynamics and Periodic Solutions in a Singular Differential Delay Equation

Mathematical and Computational Approaches in Advancing Modern Science and Engineering ◽

10.1007/978-3-319-30379-6_57 ◽

2016 ◽

pp. 629-639

Author(s):

Anatoli F. Ivanov ◽

Zari A. Dzalilov

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Global Dynamics ◽

Differential Delay Equation ◽

Differential Delay

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Existence of exactlyn+1 simple 4-periodic solutions of the differential delay equation $$\dot x(t) = - f(x(t - 1))$$

Acta Mathematica Sinica English Series ◽

10.1007/bf02561551 ◽

1994 ◽

Vol 10 (1) ◽

pp. 80-87 ◽

Author(s):

Ge Weigao

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay

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Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01790539 ◽

1986 ◽

Vol 145 (1) ◽

pp. 33-128 ◽

Author(s):

John Mallet-Paret ◽

Roger D. Nussbaum

Keyword(s):

Asymptotic Behaviour ◽

Periodic Solutions ◽

Delay Equation ◽

Differential Delay Equation ◽

Differential Delay ◽

Global Continuation

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Asymptotic estimates for the periods of periodic solutions of a differential-delay equation.

10.1307/mmj/1029003025 ◽

1984 ◽

Vol 31 (2) ◽

pp. 215-229 ◽

Author(s):

Steven A. Chapin ◽

Roger D. Nussbaum

Keyword(s):

Periodic Solutions ◽

Delay Equation ◽

Asymptotic Estimates ◽

Differential Delay Equation ◽

Differential Delay

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