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 infinity and multiple solutions for some discrete Sturm-Liouville problems
Ma, Ruyun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (04) : 535 - 543
[3] Global bifurcation in generic systems of nonlinear Sturm-Liouville problems
Rynne, BP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) : 155 - 165
[4] Global L(2)-bifurcation of nonlinear Sturm-Liouville problems
Shibata, T
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1995, 46 (06): : 859 - 871
[5] Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable
Rynne, BP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 228 (01) : 141 - 156
[6] Bifurcation of solutions of nonlinear Sturm-Liouville problems
Gulgowski, J
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2001, 6 (05): : 483 - 506
[7] NONLINEAR STURM-LIOUVILLE PROBLEMS WITH NO SECONDARY BIFURCATION
MCLEOD, JB
STUART, CA
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1978, 80 : 347 - 356
[8] Inverse bifurcation problems for nonlinear Sturm-Liouville problems
Shibata, Tetsutaro
INVERSE PROBLEMS, 2011, 27 (05)
[9] SOME NONLINEAR STURM-LIOUVILLE PROBLEMS
BERESTYCKI, H
JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 26 (03) : 375 - 390
[10] 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

← 1 2 3 4 5 →