Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions

被引：3
|
作者：
Castro, Alfonso [1 ]
Pardo, Rosa [2 ]
机构：
[1] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA
[2] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2017年 / 29卷 / 02期
关键词：
Resonance; Stability; Instability; Multiplicity; Bifurcation from infinity; Sublinear oscillating boundary conditions; Turning points; BIFURCATION; EQUILIBRIA;
D O I：
10.1007/s10884-017-9588-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the elliptic equation with nonlinear boundary condition where and g is oscillatory. We provide sufficient conditions on g for the existence of unbounded sequences of stable solutions, unstable solutions, and turning points, even in the absence of resonant solutions.
引用
收藏
页码：485 / 499
页数：15
相关论文
共 50 条
  • [1] Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions
    Alfonso Castro
    Rosa Pardo
    [J]. Journal of Dynamics and Differential Equations, 2017, 29 : 485 - 499
  • [2] Infinitely many weak solutions for a p-triharmonic problem with Navier boundary conditions
    Mehraban, Zahra
    Heidarkhani, Shapour
    [J]. APPLICABLE ANALYSIS, 2023, 102 (14) : 3909 - 3922
  • [3] Infinitely many solutions for a mixed boundary value problem
    Bonanno, Gabriele
    Tornatore, Elisabetta
    [J]. ANNALES POLONICI MATHEMATICI, 2010, 99 (03) : 285 - 293
  • [4] Infinitely Many Solutions for a Robin Boundary Value Problem
    Qian, Aixia
    Li, Chong
    [J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 2010
  • [5] INFINITELY MANY MODULI OF STABILITY AT THE DISSIPATIVE BOUNDARY OF CHAOS
    Hazard, P.
    Martens, M.
    Tresser, C.
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (01) : 27 - 51
  • [6] Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem
    Gu, Hua
    An, Tianqing
    [J]. BOUNDARY VALUE PROBLEMS, 2017,
  • [7] Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem
    Hua Gu
    Tianqing An
    [J]. Boundary Value Problems, 2017
  • [8] Infinitely many solutions for a resonant sublinear Schrodinger equation
    Bao, Gui
    Han, Zhiqing
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (17) : 2811 - 2816
  • [9] EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SUBLINEAR ELLIPTIC PROBLEMS
    Zhong, X.
    Zou, W.
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2012, 54 (03) : 535 - 545
  • [10] INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRODINGER EQUATIONS
    Zhang, Wei
    Li, Gui-Dong
    Tang, Chun-Lei
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1475 - 1493
12345