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Volumn 26, Issue 10, 1996, Pages 1621-1642

On the Vol'pert theory of travelling-wave solutions for parabolic systems

Author keywords

Degree theory; Parabolic systems; Perron Frobenius theory; Travelling waves

Indexed keywords


EID: 0042354357     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00038-W     Document Type: Article
Times cited : (11)

References (20)
  • 1
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    • Etude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique
    • KOLMOGOROV A. N., PETROWSKI I. & PISCOUNOV N., Etude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique, Moscow Univ. Math. Bull. 1, 1-25 (1937).
    • (1937) Moscow Univ. Math. Bull. , vol.1 , pp. 1-25
    • Kolmogorov, A.N.1    Petrowski, I.2    Piscounov, N.3
  • 2
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • FIFE P. C. & McLEOD J. B., The approach of solutions of nonlinear diffusion equations to travelling front solutions, Arch. ration. Mech. Analysis 65, 335-361 (1977).
    • (1977) Arch. Ration. Mech. Analysis , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 4
    • 1642380986 scopus 로고
    • Travelling waves for mutualist species
    • MISCHAIKOW K. & HUTSON V., Travelling waves for mutualist species, SIAM J. math. Analysis 24, 987-1008 (1993).
    • (1993) SIAM J. Math. Analysis , vol.24 , pp. 987-1008
    • Mischaikow, K.1    Hutson, V.2
  • 5
    • 0002944097 scopus 로고
    • Application of the rotation theory of vector fields to the study of wave solutions of parabolic equations
    • VOL'PERT A. I. & VOL'PERT V. A., Application of the rotation theory of vector fields to the study of wave solutions of parabolic equations, Transl. Trans. Moscow math. Soc. 52, 59-108 (1990).
    • (1990) Transl. Trans. Moscow Math. Soc. , vol.52 , pp. 59-108
    • Vol'pert, A.I.1    Vol'pert, V.A.2
  • 8
    • 0042856204 scopus 로고
    • Upper and lower stability and index theory for positive mappings and applications
    • DANCER E. N., Upper and lower stability and index theory for positive mappings and applications, Nonlinear Analysis 17, 205-217 (1991).
    • (1991) Nonlinear Analysis , vol.17 , pp. 205-217
    • Dancer, E.N.1
  • 9
    • 0001283333 scopus 로고
    • Stability of fixed pooints for order-preserving discrete time dynamical systems
    • DANCER E. N. & HESS P., Stability of fixed pooints for order-preserving discrete time dynamical systems, J. reine angew. Math. 419, 125-139 (1991).
    • (1991) J. Reine Angew. Math. , vol.419 , pp. 125-139
    • Dancer, E.N.1    Hess, P.2
  • 11
    • 84966203621 scopus 로고
    • Convexity of the dominant eigenvalue of an essentially non-negative matrix
    • COHEN J. E., Convexity of the dominant eigenvalue of an essentially non-negative matrix, Proc. Am. math. Soc. 81, 657-658 (1981).
    • (1981) Proc. Am. Math. Soc. , vol.81 , pp. 657-658
    • Cohen, J.E.1
  • 17
    • 0040660893 scopus 로고
    • On convexity properties of the spectral radius of non-negative matrices
    • ELSNER L., On convexity properties of the spectral radius of non-negative matrices, Linear Algebra Applic. 61, 31-35 (1984).
    • (1984) Linear Algebra Applic. , vol.61 , pp. 31-35
    • Elsner, L.1
  • 18
    • 38249043835 scopus 로고
    • Convexity and log convexity for the spectral radius
    • NUSSBAUM R. D., Convexity and log convexity for the spectral radius, Linear Algebra Applic. 73, 59-122 (1986).
    • (1986) Linear Algebra Applic. , vol.73 , pp. 59-122
    • Nussbaum, R.D.1
  • 19
    • 84963040969 scopus 로고
    • A convexity property of positive matrices
    • KINGMAN J. F. C., A convexity property of positive matrices, Quart. J. math. Oxford 81, 283-284 (1961).
    • (1961) Quart. J. Math. Oxford , vol.81 , pp. 283-284
    • Kingman, J.F.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.