Global results concerning bifurcation for Fredholm maps of index zero with a transversality condition

Stewart C. Welsh

Type: Article

Publication Date: 1988-11-01

Citations: 16

DOI: https://doi.org/10.1016/0362-546x(88)90048-x

View Publication

Locations

Nonlinear Analysis - View

Similar Works

Action	Title	Year	Authors
+	A Local Bifurcation Theorem for C 1 -Fredholm Maps	1990	Patrick Fitzpatrick Jacobo Pejsachowicz
+	Global bifurcation for Fredholm operators	2016	Julián López-Gómez
+	Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions	1992	V. G. Zvyagin N. M. Ratiner
+ PDF Chat	Bifurcation Results for a Class of Perturbed Fredholm Maps	2008	Alessandro Calamai Benevieri Pierluigi
+	Bifurcation of Fredholm maps I; Index bundle and bifurcation	2011	Jacobo Pejsachowicz
+	A global bifurcation index for set-valued perturbations of Fredholm operators	2010	Dorota Gabor Wojciech Kryszewski
+	Bifurcation theory for Fredholm operators	1976	Jorge Ize
+	Bifurcations of extremals of Fredholm functionals	2007	Б. М. Даринский Yuri Ivanovich Sapronov S. L. Tsarev
+	A global index for bifurcation of fixed points.	1988	Thomas Bartsch
+	Global Bifurcation Points and the Transversality Condition	1991	Huang
+	The parity as an invariant for detecting bifurcation of the zeroes of one parameter families of nonlinear Fredholm maps	1993	Patrick Fitzpatrick
+ PDF Chat	Topological Invariants of Bifurcation	2008	Jacobo Pejsachowicz
+	Multiple limit point bifurcation for Fredholm operators of non-zero index	1984	R.R. Huilgol
+ PDF Chat	Bifurcation of critical points for continuous families of C 2 functionals of Fredholm type	2013	Jacobo Pejsachowicz Nils Waterstraat
+	The global structure of the zero set of a family of semilinear Fredholm maps	1991	Thomas Bartsch
+	Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation	2010	Jacobo Pejsachowicz
+	Bifurcations in general piecewise-smooth maps	2007	Mario di Bernardo Alan R. Champneys Chris Budd Piotr Kowalczyk
+	Some global bifurcations of two-dimensional endomorphisms by use of critical lines	1992	Laura Gardini
+	Bifurcation of Fredholm maps I. The index bundle and bifurcation	2011	Jacobo Pejsachowicz
+ PDF Chat	Global bifurcation theorems for noncompact operators	1974	John MacBain

Works That Cite This (15)

Action	Title	Year	Authors
+	Topological Bifurcation	1995	Jorge Ize
+	None	1998	S. C. Welsh
+ PDF Chat	A local bifurcation theorem for 𝐶¹-Fredholm maps	1990	Patrick Fitzpatrick Jacobo Pejsachowicz
+ PDF Chat	One-parameter global bifurcation in a multiparameter problem	1998	Stewart C. Welsh
+ PDF Chat	Parity and generalized multiplicity	1991	Patrick Fitzpatrick Jacobo Pejsachowicz
+	On the Leray–Schauder Formula and Bifurcation	2001	Juha Berkovits
+	Existence and uniqueness of initial value problems for a class of second-order differential equations	1989	J. R. L. Webb Stewart C. Welsh
+	Sufficient conditions for periodic solutions to a class of second-order differential equations	1991	Stewart C. Welsh
+	A vector parameter global bifurcation result	1995	Stewart C. Welsh
+	Local Bifurcation Results for Systems of Semilinear Equations	1997	Juha Berkovits

Works Cited by This (21)

Action	Title	Year	Authors
+	Topological Degree Methods in Nonlinear Boundary Value Problems	1979	Jean Mawhin
+	Methods of Bifurcation Theory	1982	Shui-Nee Chow Jack K. Hale
+	A global result applicable to nonlinear Steklov problems	1974	C. A. Stuart John Toland
+ PDF Chat	On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings	1975	W. V. Petryshyn
+	On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators	1968	W. V. Petryshyn
+	Some Bifurcation Theory for <i>k</i> -Set Contractions	1973	C. A. Stuart
+	Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces	1969	Felix E. Browder W. V. Petryshyn
+ PDF Chat	On a fixed point theorem for nonlinear $P$-compact operators in Banach space	1966	W. V. Petryshyn
+	An Introduction to Functional Analysis	2006	Angus E. Taylor P. J. Davis
+	Invariance of domain theorem for locally A-proper mappings and its implications	1970	W. V. Petryshyn