Singular perturbation analysis of difference equations in classical form

Lecture Notes in Mathematics - Singular Perturbation Analysis of Discrete Control Systems ◽

10.1007/bfb0074761 ◽

1985 ◽

pp. 1-40

Author(s):

Desineni S. Naidu ◽

Ayalasomayajula K. Rao

Keyword(s):

Singular Perturbation ◽

Difference Equations ◽

Perturbation Analysis ◽

Classical Form ◽

Singular Perturbation Analysis

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Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations

SIAM Journal on Applied Mathematics ◽

10.1137/0142036 ◽

1982 ◽

Vol 42 (3) ◽

pp. 502-531 ◽

Cited By ~ 92

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Difference Equations ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis

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Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. VI. Small Shifts with Rapid Oscillations

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139992228119 ◽

1994 ◽

Vol 54 (1) ◽

pp. 273-283 ◽

Cited By ~ 73

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Difference Equations ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis

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Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. IV. A Nonlinear Example with Layer Behavior

Studies in Applied Mathematics ◽

10.1002/sapm1991843231 ◽

1991 ◽

Vol 84 (3) ◽

pp. 231-273 ◽

Cited By ~ 26

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Difference Equations ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis ◽

Layer Behavior

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Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior

SIAM Journal on Applied Mathematics ◽

10.1137/s0036139992228120 ◽

1994 ◽

Vol 54 (1) ◽

pp. 249-272 ◽

Cited By ~ 90

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Difference Equations ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis ◽

Layer Behavior

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Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems

SIAM Journal on Applied Mathematics ◽

10.1137/0145042 ◽

1985 ◽

Vol 45 (5) ◽

pp. 708-734 ◽

Cited By ~ 40

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Difference Equations ◽

Perturbation Analysis ◽

Turning Point ◽

Boundary Value ◽

Singular Perturbation Analysis

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Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Quations II. Rapid Oscillations and Resonances

SIAM Journal on Applied Mathematics ◽

10.1137/0145041 ◽

1985 ◽

Vol 45 (5) ◽

pp. 687-707 ◽

Cited By ~ 35

Author(s):

Charles G. Lange ◽

Robert M. Miura

Keyword(s):

Singular Perturbation ◽

Boundary Value Problems ◽

Perturbation Analysis ◽

Boundary Value ◽

Singular Perturbation Analysis

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Singular Perturbation Analysis of the Faradaic Impedance of Copper Dissolution Accounting for the Effects of Finite Rates of a Homogeneous Reaction

Journal of The Electrochemical Society ◽

10.1149/1.2096293 ◽

1989 ◽

Vol 136 (10) ◽

pp. 2820-2831 ◽

Cited By ~ 7

Author(s):

Alan K. Hauser ◽

John Newman

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Homogeneous Reaction ◽

Faradaic Impedance ◽

Copper Dissolution ◽

Singular Perturbation Analysis

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Singular perturbation analysis and gene regulatory networks with delay

Nonlinear Analysis ◽

10.1016/j.na.2010.01.016 ◽

2010 ◽

Vol 72 (9-10) ◽

pp. 3786-3812 ◽

Cited By ~ 6

Author(s):

Irina Shlykova ◽

Arcady Ponosov

Keyword(s):

Singular Perturbation ◽

Gene Regulatory Networks ◽

Perturbation Analysis ◽

Regulatory Networks ◽

Singular Perturbation Analysis ◽

Gene Regulatory

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Direct singular perturbation analysis of high-gain and cheap control problems

Automatica ◽

10.1016/0005-1098(83)90073-0 ◽

1983 ◽

Vol 19 (1) ◽

pp. 41-51 ◽

Cited By ~ 56

Author(s):

P. Sannuti

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

High Gain ◽

Control Problems ◽

Cheap Control ◽

Singular Perturbation Analysis

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Singular perturbation analysis of dynamic fields in a thermoelastic solid with a small surface-breaking crack

Acta Mechanica Sinica ◽

10.1007/s10409-006-0028-3 ◽

2006 ◽

Vol 22 (5) ◽

pp. 449-454 ◽

Cited By ~ 1

Author(s):

E. Zhelezina ◽

I. S. Jones ◽

A. B. Movchan

Keyword(s):

Singular Perturbation ◽

Perturbation Analysis ◽

Small Surface ◽

Singular Perturbation Analysis ◽

Thermoelastic Solid ◽

Surface Breaking Crack

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