Investigation of the integral manifolds of singularly perturbed functional differential equations

Nikolai Perestyuk; Ihor M. Cherevko

doi:10.18514/mmn.2002.50

Investigation of the integral manifolds of singularly perturbed functional differential equations

Miskolc Mathematical Notes ◽

10.18514/mmn.2002.50 ◽

2002 ◽

Vol 3 (1) ◽

pp. 47 ◽

Cited By ~ 1

Author(s):

Nikolai Perestyuk ◽

Ihor M. Cherevko

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Integral Manifolds ◽

Functional Differential

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Integral manifolds, stability, and bifurcation of solutions of singularly perturbed functional-differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01056826 ◽

1987 ◽

Vol 38 (3) ◽

pp. 290-294 ◽

Cited By ~ 1

Author(s):

Yu. A. Mitropol'skii ◽

V. I. Fodchuk ◽

I. I. Klevchuk

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Stability And Bifurcation ◽

Integral Manifolds ◽

Functional Differential ◽

Bifurcation Of Solutions

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On the stability of integral manifolds of functional differential equations

Journal of Differential Equations ◽

10.1016/0022-0396(71)90014-3 ◽

1971 ◽

Vol 9 (3) ◽

pp. 405-419 ◽

Cited By ~ 5

Author(s):

Arnold P Stokes

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Integral Manifolds ◽

Functional Differential ◽

The Stability

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On Singularly Perturbed Retarded Functional Differential Equations

Journal of Differential Equations ◽

10.1006/jdeq.2000.3840 ◽

2001 ◽

Vol 171 (1) ◽

pp. 88-109 ◽

Cited By ~ 16

Author(s):

Zvi Artstein ◽

Marshall Slemrod

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Retarded Functional Differential Equations ◽

Functional Differential

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Integral manifolds for partial functional differential equations in admissible spaces on a half-line

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.10.027 ◽

2014 ◽

Vol 411 (2) ◽

pp. 816-828 ◽

Cited By ~ 6

Author(s):

Thieu Huy Nguyen ◽

Viet Duoc Trinh

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Half Line ◽

Partial Functional Differential Equations ◽

Integral Manifolds ◽

Functional Differential

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Exponential dichotomy for singularly perturbed linear functional differential equations with small delays

Applicable Analysis ◽

10.1080/00036819208840141 ◽

1992 ◽

Vol 47 (1-4) ◽

pp. 213-225 ◽

Cited By ~ 5

Author(s):

Marcos Lizana Peña

Keyword(s):

Differential Equations ◽

Linear Functional ◽

Exponential Dichotomy ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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Asymptotic Solution of a Boundary-Value Problem for Linear Singularly-Perturbed Functional Differential Equations Arising in Optimal Control Theory

Journal of Optimization Theory and Applications ◽

10.1023/a:1004651430364 ◽

2000 ◽

Vol 106 (2) ◽

pp. 309-335 ◽

Cited By ~ 21

Author(s):

V. Y. Glizer

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Control Theory ◽

Boundary Value Problem ◽

Asymptotic Solution ◽

Optimal Control Theory ◽

Boundary Value ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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A kind of singularly perturbed boundary value problem for nonlinear Volterra functional differential equations

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-000-0019-2 ◽

2000 ◽

Vol 15 (2) ◽

pp. 137-142 ◽

Cited By ~ 3

Author(s):

Lu Shiping

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Boundary Value ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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Convergence and boundary layers in singularly perturbed linear functional differential equations

Journal of Differential Equations ◽

10.1016/0022-0396(84)90146-3 ◽

1984 ◽

Vol 54 (3) ◽

pp. 295-309 ◽

Cited By ~ 7

Author(s):

Luis T Magalhães

Keyword(s):

Differential Equations ◽

Boundary Layers ◽

Linear Functional ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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The asymptotics of solutions of singularly perturbed functional differential equations: Distributed and concentrated delays are different

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(85)90110-6 ◽

1985 ◽

Vol 105 (1) ◽

pp. 250-257 ◽

Cited By ~ 4

Author(s):

Luis T Magalhães

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Asymptotics Of Solutions ◽

Functional Differential

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Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in the optimal control theory

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s000300050059 ◽

1998 ◽

Vol 5 (4) ◽

pp. 491-515 ◽

Cited By ~ 18

Author(s):

Valery Y. Glizer

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Control Theory ◽

Asymptotic Solution ◽

Optimal Control Theory ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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