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Volumn 1, Issue 4, 1996, Pages 579-609

Positive periodic solutions for semilinear reaction diffusion systems on ℝN

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EID: 0011666678     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (27)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann,. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Review 18 (1976), 620-709.
    • (1976) SIAM Review , vol.18 , pp. 620-709
    • Amann, H.1
  • 3
    • 84972545997 scopus 로고
    • Exponential stability of a diffusion equation with absorption
    • W. Arendt and C.J.K. Batty, Exponential stability of a diffusion equation with absorption, differential Integral Equations, 6 (1993), 1009-1024.
    • (1993) differential Integral Equations , vol.6 , pp. 1009-1024
    • Arendt, W.1    Batty, C.J.K.2
  • 5
    • 0001285470 scopus 로고
    • On the principal eigenvalue of a periodic parabolic operator
    • A. Beltramo, and P. Hess, On the principal eigenvalue of a periodic parabolic operator, Comm. Partial differential Equations, 9 (1984), 919-941.
    • (1984) Comm. Partial differential Equations , vol.9 , pp. 919-941
    • Beltramo, A.1    Hess, P.2
  • 7
    • 0002088216 scopus 로고
    • Multiple fixed points of positive mappings
    • E.N. Dancer, Multiple fixed points of positive mappings, J. reine angew. Math., 371 (1986), 46-66.
    • (1986) J. reine angew. Math. , vol.371 , pp. 46-66
    • Dancer, E.N.1
  • 8
    • 0042856204 scopus 로고
    • Upper, and lower stability, and index theory for positive mappings, and applications
    • E.N. Dancer, Upper, and lower stability, and index theory for positive mappings, and applications, Nonlinear Analysis TMA, 3 (1991), 205-217.
    • (1991) Nonlinear Analysis TMA , vol.3 , pp. 205-217
    • Dancer, E.N.1
  • 9
    • 0000907310 scopus 로고
    • On the indices of fixed points of mappings in cones, and applications
    • E.N. Dancer, On the indices of fixed points of mappings in cones, and applications, J. Math. Anal. Appl., 91 (1983), 131-151.
    • (1983) J. Math. Anal. Appl. , vol.91 , pp. 131-151
    • Dancer, E.N.1
  • 10
    • 84966251421 scopus 로고
    • On the existence, and uniqueness of positive solutions for competing species models with diffusion
    • E.N. Dancer, On the existence, and uniqueness of positive solutions for competing species models with diffusion, Trans. Amer. Math. Soc., 326 (1991), 829-859.
    • (1991) Trans. Amer. Math. Soc. , vol.326 , pp. 829-859
    • Dancer, E.N.1
  • 11
    • 0003872825 scopus 로고
    • Abstract evolution equations, periodic problems, and applications, Longman Scientific & Technical
    • Harlow, Essex
    • D. Daners, and P. Koch Medina, Abstract evolution equations, periodic problems, and applications, Longman Scientific & Technical, Pitman Research Notes in Mathematics Series 279, Harlow, Essex, 1992.
    • (1992) Pitman Research Notes in Mathematics Series , vol.279
    • Daners, D.1    Koch Medina, P.2
  • 14
    • 0003535772 scopus 로고
    • Allyn, and Bacon, Boston
    • J. Dugundji, "Topology," Allyn, and Bacon, Boston, 1966.
    • (1966) Topology
    • Dugundji, J.1
  • 16
    • 0001641843 scopus 로고
    • On an abstract competition model, and applications
    • P. Hess, and A.C. Lazer, On an abstract competition model, and applications, Nonlinear Analysis TMA, 11 (1991), 917-940.
    • (1991) Nonlinear Analysis TMA , vol.11 , pp. 917-940
    • Hess, P.1    Lazer, A.C.2
  • 19
    • 85033053136 scopus 로고    scopus 로고
    • Longtime behaviour of reaction-diffusion equations on RN
    • to appear
    • P. Koch Medina, and G. Schätti, Longtime behaviour of reaction-diffusion equations on RN, Nonlinear Analysis TMA, (to appear).
    • Nonlinear Analysis TMA
    • Koch Medina, P.1    Schätti, G.2
  • 20
    • 0347225731 scopus 로고
    • Some remarks on periodic solutions of parabolic differential equations
    • Eds., Academic Press, New York
    • A.C. Lazer, Some remarks on periodic solutions of parabolic differential equations, in "Dynamical Systems II" (A.R. Bednarek, L. Cesari, Eds.), Academic Press, New York, 1982, pp. 227-246.
    • (1982) in "Dynamical Systems II" (A.R. Bednarek, L. Cesari) , pp. 227-246
    • Lazer, A.C.1
  • 21
    • 84972500573 scopus 로고
    • Positive periodic solutions of Volterra-Lotka reaction diffusion systems
    • J. López-Gómez, Positive periodic solutions of Volterra-Lotka reaction diffusion systems, differential, and Integral Equations, 1 (1992), 55-72.
    • (1992) differential, and Integral Equations , vol.1 , pp. 55-72
    • López-Gómez, J.1
  • 22
    • 84972500777 scopus 로고
    • Nonlinear eigenvalues, and global bifurcation theory. Application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
    • J. López-Gómez, Nonlinear eigenvalues, and global bifurcation theory. Application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species, Differential, and Integral Equations, 7 (1994), 1427-1452.
    • (1994) Differential, and Integral Equations , vol.7 , pp. 1427-1452
    • López-Gómez, J.1
  • 23
    • 84972537551 scopus 로고
    • Existence, and uniqueness of coexistence states for the predatorprey model with diffusion. The scalar case
    • J. López-Gómez, and R. Pardo, Existence, and uniqueness of coexistence states for the predatorprey model with diffusion. The scalar case, differential, and Integral equations, 6 (1993), 1025-1033.
    • (1993) differential, and Integral equations , vol.6 , pp. 1025-1033
    • López-Gómez, J.1    Pardo, R.2
  • 24
    • 84985341428 scopus 로고
    • Interpolation spaces between domains of elliptic operators, and spaces of continuous functions with applications to nonlinear parabolic equations
    • A. Lunardi, Interpolation spaces between domains of elliptic operators, and spaces of continuous functions with applications to nonlinear parabolic equations, Mathematische Nachrichten, 121 (1985), 295-318.
    • (1985) Mathematische Nachrichten , vol.121 , pp. 295-318
    • Lunardi, A.1
  • 25
    • 84972570025 scopus 로고
    • The radius of the essential spectrum
    • R.D. Nussbaum, The radius of the essential spectrum, Duke Math. J., 38 (1970), 473-478.
    • (1970) Duke Math. J. , vol.38 , pp. 473-478
    • Nussbaum, R.D.1
  • 27
    • 84967728255 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
    • H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc., 259 (1980), 299-310.
    • (1980) Trans. Amer. Math. Soc. , vol.259 , pp. 299-310
    • Stewart, H.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.