Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese)

Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (1): 1-12.

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Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese)

NI Ming-kang^1,2

1. Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. SJTU Section, Computational Science Division, E-Institute of Shanghai Universities, Shanghai 200030, China

Received:2005-09-17 Revised:2005-10-28 Online:2006-01-25 Published:2006-01-25
Contact: NI Ming-kang

Abstract

Abstract: This paper surveys recent developments in studies of contrast spatial structure solutions of singularly perturbed problems, which have rise since the beginning of 1990's. It mainly introduces a series of work about step-type and spike-type solutions in ODE, including critical and uncritical cases. In the
meanwhile, it introduces the latest research progress of contrast spatial structure of variation problems. The outline of contrast spatial structure solutions in PDE is also included.

Key words: Contrast Spatial Structure Solutions, step-type solutions, spike-type solutions, Singular Perturbation, Contrast Spatial Structure Solutions, step-type solutions, spike-type solutions

CLC Number:

O175.14

NI Ming-kang;. Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(1): 1-12.

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Studies in Contrast Spatial Structure Solutions for Singular Perturbation Problems(Chinese)

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