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Volumn 47, Issue 5, 1996, Pages 730-739

Genericity of hyperbolicity and saddle-node bifurcations in reaction-diffusion equations depending on a parameter

Author keywords

Generic; Hyperbolic; Reaction diffusion equations; Saddle node bifurcation; Stationary solutions

Indexed keywords


EID: 0030500823     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00915272     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 0040174393 scopus 로고
    • Generic properties of stationary states of reaction-diffusion equations
    • P. Brunovsky and S-N. Chow, Generic properties of stationary states of reaction-diffusion equations, J. Diff. Eq. 53 (1984), 1-23.
    • (1984) J. Diff. Eq. , vol.53 , pp. 1-23
    • Brunovsky, P.1    Chow, S.-N.2
  • 2
    • 0039583093 scopus 로고
    • Generic hyperbolicity for reaction diffusion equations on symmetric domains
    • P. Brunovsky and P. Polacik, Generic hyperbolicity for reaction diffusion equations on symmetric domains, J. Appl. Math. Phys. (ZAMP) 38 (1987), 172-183.
    • (1987) J. Appl. Math. Phys. (ZAMP) , vol.38 , pp. 172-183
    • Brunovsky, P.1    Polacik, P.2
  • 5
    • 0038990239 scopus 로고
    • Generic hyperbolicity for scalar parabolic equations
    • A. L. Pereira, Generic hyperbolicity for scalar parabolic equations, Proc. Roy. Soc. Edinburgh 123A (1993), 1031-1040.
    • (1993) Proc. Roy. Soc. Edinburgh , vol.123 A , pp. 1031-1040
    • Pereira, A.L.1
  • 6
    • 38249037574 scopus 로고
    • Generic hyperbolicity in one-dimensional reaction-diffusion equations with general boundary conditions
    • P. Polacik, Generic hyperbolicity in one-dimensional reaction-diffusion equations with general boundary conditions, Nonlinear Analysis, Theory, Methods and Applications 11 (1987), 593-597.
    • (1987) Nonlinear Analysis, Theory, Methods and Applications , vol.11 , pp. 593-597
    • Polacik, P.1
  • 7
    • 84935186727 scopus 로고
    • Generic properties of equilibria of reaction-diffusion equations with variable diffusion
    • C. Rocha, Generic properties of equilibria of reaction-diffusion equations with variable diffusion, Proc. Roy. Soc. Edinburgh 101A (1985), 45-55.
    • (1985) Proc. Roy. Soc. Edinburgh , vol.101 A , pp. 45-55
    • Rocha, C.1
  • 9
    • 0000381183 scopus 로고
    • Generic properties of nonlinear boundary value problems
    • J. C. Saut and R. Temam, Generic properties of nonlinear boundary value problems, Comm. in PDE 4 (1979), 293-319.
    • (1979) Comm. in PDE , vol.4 , pp. 293-319
    • Saut, J.C.1    Temam, R.2
  • 10
    • 0001489944 scopus 로고
    • Generic properties of eigenfunctions
    • K. Uhlenbeck, Generic properties of eigenfunctions, Am. J. Math. 98 (1976), 1059-1078.
    • (1976) Am. J. Math. , vol.98 , pp. 1059-1078
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.