Nodal Solutions for a Class of Degenerate Boundary Value Problems

被引：0

作者：

Lopez-Gomez, J. ^{[1
]}

Rabinowitz, P. H. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Univ Wisconsin, Dept Math, Madison, WI 53705 USA

来源：

ADVANCED NONLINEAR STUDIES | 2015年 / 15卷 / 02期

关键词：

degenerate nonlinearity; nodal solutions; global bifurcation diagrams; POSITIVE SOLUTIONS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of nodal solutions for a class of boundary value problems that arise in population dynamics models. These problems are degenerate in the sense that the nonlinear term vanishes in a subinterval of the underlying region. In contrast to the non-degenerate case, in these degenerate situations the structure of the set of nodal solutions might consist of several components, making the analysis of this problem more complicated. This paper provides an initial step towards the solution of this general problem.

引用

页码：253 / 288

页数：36

共 50 条

[1] Nodal Solutions of Nonlocal Boundary Value Problems
Chamberlain, J.
Kong, L.
Kong, Q.
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2009, 14 (04) : 435 - 450
[2] Boundary value problems for a class of degenerate pseudodifferential equations
Baev, A. D.
Kovalevskiy, R. A.
[J]. DOKLADY MATHEMATICS, 2015, 91 (02) : 131 - 133
[3] Boundary value problems for a class of degenerate pseudodifferential equations
A. D. Baev
R. A. Kovalevskiy
[J]. Doklady Mathematics, 2015, 91 : 131 - 133
[4] GLOBAL BIFURCATION DIAGRAMS OF ONE NODE SOLUTIONS IN A CLASS OF DEGENERATE BOUNDARY VALUE PROBLEMS
Lopez-Gomez, Julian
Molina-Meyer, Marcela
Rabinowitz, Paul H.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (03): : 923 - 946
[5] ANALYTICITY OF SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR A CLASS OF ELLIPTIC EQUATIONS OF ARBITRARY ORDER DEGENERATE ON BOUNDARY
SAWSAN, MA
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (06): : 3 - 11
[6] Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems
Jia Xu
XiaoLing Han
[J]. Boundary Value Problems, 2010
[7] Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems
Xu, Jia
Han, XiaoLing
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[8] On the structure of solutions of a class of boundary value problems
Liu, XY
Yan, BQ
[J]. HOUSTON JOURNAL OF MATHEMATICS, 1999, 25 (04): : 757 - 768
[9] Conditions for bifurcation of solutions of degenerate boundary-value problems
Boichuk, O. A.
Shehda, L. M.
[J]. NONLINEAR OSCILLATIONS, 2009, 12 (02): : 149 - 156
[10] Multiple solutions of semilinear degenerate elliptic boundary value problems
Taira, Kazuaki
[J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (01) : 105 - 123

← 1 2 3 4 5 →