Characterization of the eigenfunctions in the singularly perturbed domain

Shuichi Jimbo

doi:10.3792/pjaa.63.285

Characterization of the eigenfunctions in the singularly perturbed domain

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.63.285 ◽

1987 ◽

Vol 63 (8) ◽

pp. 285-288 ◽

Cited By ~ 4

Author(s):

Shuichi Jimbo

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Domain

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Characterization of the eigenfunctions in the singularly perturbed domain, II

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.64.14 ◽

1988 ◽

Vol 64 (1) ◽

pp. 14-16

Author(s):

Shuichi Jimbo

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Domain

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Characterization of stability transitions and practical stability of planar singularly perturbed linear switched systems

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6160234 ◽

2011 ◽

Cited By ~ 1

Author(s):

Fouad El Hachemi ◽

Mario Sigalotti ◽

Jamal Daafouz

Keyword(s):

Switched Systems ◽

Singularly Perturbed ◽

Practical Stability

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Asymptotics of the scattering operator for the wave equation in a singularly perturbed domain

Sbornik Mathematics ◽

10.1070/sm9462 ◽

2021 ◽

Vol 212 (10) ◽

Author(s):

Dmitrii Vladimirovich Korikov

Keyword(s):

Wave Equation ◽

Singularly Perturbed ◽

Scattering Operator ◽

Singularly Perturbed Domain

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On a class of buckling problems in a singularly perturbed domain

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/hbn027 ◽

2008 ◽

Vol 62 (1) ◽

pp. 89-103 ◽

Cited By ~ 6

Author(s):

C. D. Coman ◽

A. P. Bassom

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Domain

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Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed control systems

Journal of Differential Equations ◽

10.1016/j.jde.2013.08.008 ◽

2013 ◽

Vol 255 (11) ◽

pp. 4226-4243 ◽

Cited By ~ 4

Author(s):

Oana Silvia Serea

Keyword(s):

Control Systems ◽

Singularly Perturbed ◽

Optimal Trajectories

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Perturbation formula of eigenvalues in a singularly perturbed domain

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/04520339 ◽

1993 ◽

Vol 45 (2) ◽

pp. 339-356 ◽

Cited By ~ 16

Author(s):

Shuichi JIMBO

Keyword(s):

Singularly Perturbed ◽

Perturbation Formula ◽

Singularly Perturbed Domain

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Remarks on the behavior of certain Eigenvalues on a Singularly perturbed Domain with several Thin Channels

Communications in Partial Differential Equations ◽

10.1080/03605309208820852 ◽

1992 ◽

Vol 17 (3-4) ◽

pp. 189-226

Author(s):

Jimbo Shuichi ◽

Morita Yoshihisa

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Domain

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Effective Characterization of the Asymptotic Behavior of Solutions of Singularly Perturbed Boundary Value Problems

SIAM Journal on Applied Mathematics ◽

10.1137/0130030 ◽

1976 ◽

Vol 30 (2) ◽

pp. 296-306 ◽

Cited By ~ 9

Author(s):

F. A. Howes

Keyword(s):

Asymptotic Behavior ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Asymptotic Behavior Of Solutions

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Asymptotics of solutions and modeling of the Von Karman equations in a singularly perturbed domain

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0261-6 ◽

2011 ◽

Vol 173 (5) ◽

pp. 571-608

Author(s):

O. V. Izotova ◽

S. A. Nazarov ◽

G. Sweers

Keyword(s):

Singularly Perturbed ◽

Asymptotics Of Solutions ◽

Von Karman ◽

Von Kármán Equations ◽

Singularly Perturbed Domain ◽

Von Kármán

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Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels

Journal of Dynamics and Differential Equations ◽

10.1007/bf01048156 ◽

1992 ◽

Vol 4 (1) ◽

pp. 65-93 ◽

Cited By ~ 11

Author(s):

Yoshihisa Morita ◽

Shuichi Jimbo

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Inertial Manifolds ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Singularly Perturbed Domain

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