Differential and Integral Equations

Bifurcation for families of nonlinear perturbation of closed Fredholm operators of index zero

Maria Testa

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper we obtain a bifurcation result for parameterized families of $k$ set-contractive perturbations of closed Fredholm operators of index zero by means of an elementary degree theory and its relationship to a homotopy invariant for curves of closed Fredholm operators called the parity. This theorem is applied to the study of bifurcation of nonlinear Sturm Liouville problems on an unbounded interval.

Article information

Source
Differential Integral Equations, Volume 15, Number 11 (2002), 1281-1312.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060722

Mathematical Reviews number (MathSciNet)
MR1920687

Zentralblatt MATH identifier
1026.47008

Subjects
Primary: 47J15: Abstract bifurcation theory [See also 34C23, 37Gxx, 58E07, 58E09]
Secondary: 34B15: Nonlinear boundary value problems 34L30: Nonlinear ordinary differential operators 35B32: Bifurcation [See also 37Gxx, 37K50] 47H11: Degree theory [See also 55M25, 58C30] 47N20: Applications to differential and integral equations 58E07: Abstract bifurcation theory

Citation

Testa, Maria. Bifurcation for families of nonlinear perturbation of closed Fredholm operators of index zero. Differential Integral Equations 15 (2002), no. 11, 1281--1312. https://projecteuclid.org/euclid.die/1356060722


Export citation