On the exactness of an S-shaped bifurcation curve

被引：57
|
作者：
Korman, P [1 ]
Li, Y
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 04期
关键词：
S-shaped bifurcation curve; Crandall-Rabinowitz theorem;
D O I：
10.1090/S0002-9939-99-04928-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of two-point boundary value problems we prove exactness of an S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like e(au/(u+a)) for a > 0.
引用
收藏
页码：1011 / 1020
页数：10
相关论文
共 50 条
  • [41] The existence of a double S-shaped process curve during reactive magnetron sputtering
    Schelfhout, R.
    Strijckmans, K.
    Depla, D.
    APPLIED PHYSICS LETTERS, 2016, 109 (11)
  • [42] The study of S-shaped acceleration and deceleration curve and the trajectory planning strategy analysis
    Liu Z.
    Dong J.
    Ding Y.
    Li B.
    Wang P.
    Key Engineering Materials, 2016, 693 : 1195 - 1199
  • [43] The Double-Peaked Shape of the Laffer Curve in the Case of the Inverted S-Shaped Labor Supply Curve
    Tavor, Tchai
    Gonen, Limor Dina
    Spiegel, Uriel
    MATHEMATICS, 2022, 10 (06)
  • [44] An ecological model with a Σ-shaped bifurcation curve
    Lee, Eunkyoung
    Sasi, Sarath
    Shivaji, R.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 634 - 642
  • [45] THE HORIZONTALLY S-SHAPED LAFFER CURVE (vol 16, pg 857, 2018)
    Feve, Patrick
    Matheron, Julien
    Sahuc, Jean-Guillaume
    JOURNAL OF THE EUROPEAN ECONOMIC ASSOCIATION, 2018, 16 (02) : 561 - 561
  • [46] S-SHAPED CANCER INCIDENCE CURVES DO NOT IMPLY S-SHAPED RISK FUNCTIONS
    ABEL, U
    BECKER, N
    MEDICAL HYPOTHESES, 1983, 11 (04) : 391 - 395
  • [47] SELF-OSCILLATIONS IN THE SYSTEM WITH A S-SHAPED IV CURVE OF N-S CONTACT
    CHIANG, YN
    SHEVCHENKO, OG
    FIZIKA NIZKIKH TEMPERATUR, 1990, 16 (11): : 1398 - 1403
  • [48] The S-Shaped Utility Function
    R. Dacey
    Synthese, 2003, 135 : 243 - 272
  • [49] Fabrication of an S-shaped microactuator
    Shikida, M
    Sato, K
    Harada, T
    JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 1997, 6 (01) : 18 - 24
  • [50] Tuned S-shaped resonators
    Khan, M. F.
    Mughal, M. J.
    IEEE 2007 INTERNATIONAL SYMPOSIUM ON MICROWAVE, ANTENNA, PROPAGATION AND EMC TECHNOLOGIES FOR WIRELESS COMMUNICATIONS, VOLS I AND II, 2007, : 1017 - 1019
12345