Averaging Theory for Delay Difference Equations with Time-Varying Delays

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139997325679 ◽

1999 ◽

Vol 59 (4) ◽

pp. 1487-1506 ◽

Author(s):

Brad Lehman ◽

Steven P. Weibel

Keyword(s):

Difference Equations ◽

Averaging Theory ◽

Time Varying ◽

Delay Difference Equations ◽

Delay Difference

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THE BOUNDEDNESS OF NON-AUTONOMOUS NONLINEAR TIME-VARYING DELAY DIFFERENCE EQUATIONS SUBJECT TO EXTERNAL DISTURBANCES AND ITS APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-6172-2020-8-2-52-68 ◽

2020 ◽

Vol 8 (2) ◽

pp. 52-68

Author(s):

D.C. Huong

Keyword(s):

Difference Equations ◽

Time Varying ◽

External Disturbances ◽

Time Varying Delay ◽

Delay Difference Equations ◽

Varying Delay ◽

Delay Difference

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Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations

The Journal of Difference Equations and Applications ◽

10.1080/1023619021000000735 ◽

2002 ◽

Vol 8 (8) ◽

pp. 719-728 ◽

Author(s):

Ravi P. Agarwal ◽

Wan-Tong Li ◽

P.Y.H. Pang

Keyword(s):

Asymptotic Behavior ◽

Difference Equations ◽

Delay Difference Equations ◽

Delay Difference ◽

Nonlinear Delay

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An estimate of numbers of terms of semicycles of delay difference equations

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(00)00300-x ◽

2001 ◽

Vol 41 (5-6) ◽

pp. 571-578 ◽

Author(s):

Yong Zhou ◽

B.G. Zhang

Keyword(s):

Difference Equations ◽

Delay Difference Equations ◽

Delay Difference

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Exponential Stability of Solutions to Delay Difference Equations with Periodic Coefficients

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ◽

10.1007/978-3-030-38870-6_13 ◽

2020 ◽

pp. 93-100

Author(s):

G. V. Demidenko ◽

D. Sh. Baldanov

Keyword(s):

Exponential Stability ◽

Difference Equations ◽

Stability Of Solutions ◽

Periodic Coefficients ◽

Delay Difference Equations ◽

Delay Difference

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New oscillation criteria for first-order delay difference equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2003.08.005 ◽

2004 ◽

Vol 47 (12) ◽

pp. 1875-1884 ◽

Author(s):

Jianchu Jiang ◽

Xiaoping Li ◽

Xianhua Tang

Keyword(s):

Difference Equations ◽

Oscillation Criteria ◽

First Order ◽

Delay Difference Equations ◽

Delay Difference

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Finite-time stability of ABC type fractional delay difference equations

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111430 ◽

2021 ◽

Vol 152 ◽

pp. 111430

Author(s):

Yuting Chen ◽

Xiaoyan Li ◽

Song Liu

Keyword(s):

Difference Equations ◽

Finite Time ◽

Time Stability ◽

Finite Time Stability ◽

Fractional Delay ◽

Delay Difference Equations ◽

Delay Difference

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Existence of Oscillatory Solutions of Linear First order Neutral Delay Difference Equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1543/1/012004 ◽

2020 ◽

Vol 1543 ◽

pp. 012004

Author(s):

R. Jesinthaangel ◽

G. Gomathi Jawahar ◽

J. Daphy Louis Lovenia

Keyword(s):

Difference Equations ◽

Neutral Delay ◽

Oscillatory Solutions ◽

First Order ◽

Delay Difference Equations ◽

Delay Difference

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Classification and Existence of Non-Oscillatory Solutions of Second-Order Neutral Delay Difference Equations

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1013 ◽

2001 ◽

Vol 20 (1) ◽

pp. 223-234 ◽

Author(s):

Yong Zhou ◽

Binggen Zhang

Keyword(s):

Difference Equations ◽

Second Order ◽

Neutral Delay ◽

Oscillatory Solutions ◽

Delay Difference Equations ◽

Delay Difference

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Necessary and Sufficient Razumikhin-Type Conditions for Stability of Delay Difference Equations

IEEE Transactions on Automatic Control ◽

10.1109/tac.2013.2255951 ◽

2013 ◽

Vol 58 (10) ◽

pp. 2637-2642 ◽

Author(s):

Rob H. Gielen ◽

Mircea Lazar ◽

Sasa V. Rakovic

Keyword(s):

Difference Equations ◽

Necessary And Sufficient ◽

Delay Difference Equations ◽

Delay Difference

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On the oscillatory behaviour of a class of nonlinear delay difference equations of second order

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-011-0002-z ◽

2011 ◽

Vol 42 (1) ◽

pp. 27-40 ◽

Author(s):

A. K. Tripathy ◽

S. Panigrahi

Keyword(s):

Difference Equations ◽

Second Order ◽

Oscillatory Behaviour ◽

Delay Difference Equations ◽

Delay Difference ◽

Nonlinear Delay

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