Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems

被引：0

作者：

Aliyev, Ziyatkhan S. ^{[1
,2
]}

Hadiyeva, Sevinj S. ^{[3
]}

Ismayilova, Nurida A. ^{[2
]}

机构：

[1] Baku State Univ, Baku 1148, Azerbaijan

[2] Minist Sci & Educ Republ Azerbaijan, Inst Math Mech, Baku 1141, Azerbaijan

[3] Sumgait State Univ, Sumgait 5000, Azerbaijan

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 03期

关键词：

Bifurcation from zero; Bifurcation from infinity; Bifurcation point; Eigenvalue; Global continua; EIGENVALUE PROBLEMS; STEKLOV PROBLEMS; SPECTRAL PARAMETER; EQUATIONS; ZERO;

D O I：

10.1007/s40840-023-01490-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the bifurcation of solutions from infinity of Sturm-Liouville eigenvalue problems with a spectral parameter in the boundary condition. These problems are reduced to integro-differential equations to which the global bifurcation theory can be applied. Using this, we show the existence of two families of unbounded continua of solutions to these problems, emanating from bifurcation points and lying in classes of functions with fixed oscillation count in a neighborhood of these bifurcation points.

引用

页数：14

共 50 条

[1] Global Bifurcation from Infinity in Some Nonlinear Sturm-Liouville Problems
Ziyatkhan S. Aliyev
Sevinj S. Hadiyeva
Nurida A. Ismayilova
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[2] Bifurcation from zero or infinity in nonlinearizable Sturm-Liouville problems with indefinite weight
Aliyey, Ziyatkhan S.
Nasirova, Leyla, V
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (55) : 1 - 16
[3] Bifurcation from infinity and multiple solutions for some discrete Sturm-Liouville problems
Ma, Ruyun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (04) : 535 - 543
[4] Global bifurcation and multiple results for Sturm-Liouville problems
Cui, Yujun
Sun, Jingxian
Zou, Yumei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 2185 - 2192
[5] GLOBAL BIFURCATION FROM INTERVALS IN NONLINEAR STURM-LIOUVILLE PROBLEM WITH INDEFINITE WEIGHT FUNCTION
Nasirova, Leyla, V
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2021, 47 (02): : 346 - 356
[6] Global bifurcation from zero in nonlinear Sturm-Liouville equation with a spectral parameter in the boundary condition
Aliyev, Ziyatkhan S. S.
Ismayilova, Nurida A. A.
QUAESTIONES MATHEMATICAE, 2023, 46 (11) : 2233 - 2241
[7] BIFURCATION OF POSITIVE AND NEGATIVE SOLUTIONS OF NONLINEARIZABLE STURM-LIOUVILLE PROBLEMS WITH INDEFINITE WEIGHT
Aliyev, Ziyatkhan S.
Nasirova , Leyla, V
MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 19 - 29
[8] BIFURCATION IN NONLINEAR STURM-LIOUVILLE PROBLEMS WITH INDEFINITE WEIGHT AND SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
Gurbanova, Ulkar, V
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2021, 47 (01): : 46 - 54
[9] Global bifurcation and nodal solutions for a Sturm-Liouville problem with a nonsmooth nonlinearity
Ma, Ruyun
Dai, Guowei
JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (08) : 1443 - 1459
[10] On the inverse nodal problems for discontinuous Sturm-Liouville operators
Wang, Yu Ping
Yurko, V. A.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (05) : 4086 - 4109

← 1 2 3 4 5 →