SINGULAR LIMIT ANALYSIS OF STABILITY OF TRAVELING-WAVE SOLUTIONS IN BISTABLE REACTION-DIFFUSION SYSTEMS

被引：49

作者：

NISHIURA, Y

MIMURA, M

IKEDA, H

FUJII, H

机构：

[1] TOYAMA UNIV,DEPT MATH,TOYAMA 930,JAPAN

[2] KYOTO SANGYO UNIV,INST COMP SCI,KYOTO 603,JAPAN

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1990年 / 21卷 / 01期

关键词：

D O I：

10.1137/0521006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：85 / 122

页数：38

共 17 条

[1]

Coddington A., 1955, THEORY ORDINARY DIFF

[2]

Edmunds D.E., 1987, SPECTRAL THEORY DIFF

[3] NERVE AXON EQUATIONS .3. STABILITY OF NERVE IMPULSE [J].

EVANS, JW .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1972, 22 (06) :577-593

[4] NERVE AXON EQUATIONS .4. STABLE AND UNSTABLE IMPULSE [J].

EVANS, JW .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1975, 24 (12) :1169-1190

[5] BOUNDARY AND INTERIOR TRANSITION LAYER PHENOMENA FOR PAIRS OF SECOND-ORDER DIFFERENTIAL EQUATIONS [J].

FIFE, PC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 54 (02) :497-521

[6]

FIFE PC, 1977, ARCH RATION MECH AN, V65, P335, DOI 10.1007/BF00250432

[7]

Goldberg S., 1966, UNBOUNDED LINEAR OPE

[8]

HENRY D, 1981, LECTURE NOTES MATH, V80

[9] SINGULAR PERTURBATION APPROACH TO TRAVELING WAVES IN COMPETING AND DIFFUSING SPECIES MODELS [J].

HOSONO, Y ;

MIMURA, M .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1982, 22 (03) :435-461

[10] GLOBAL BIFURCATION PHENOMENA OF TRAVELING WAVE SOLUTIONS FOR SOME BISTABLE REACTION DIFFUSION-SYSTEMS [J].

IKEDA, H ;

MIMURA, M ;

NISHIURA, Y .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (05) :507-526

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