On the product theorem for the fixed point index

2006 ◽  
pp. 44-48 ◽  
Author(s):  
Robert F. Brown
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Product Theorem ◽  
Point Index

scholarly journals Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations with Functional Terms

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 330
Author(s):  
Gennaro Infante
Keyword(s):  
Fixed Point ◽  
Boundary Conditions ◽  
Integral Equations ◽  
General Class ◽  
Fixed Point Index ◽  
Nontrivial Solutions ◽  
Point Index ◽  
Hammerstein Integral Equations ◽  
Functional Boundary ◽  
Functional Boundary Conditions

We discuss the solvability of a fairly general class of systems of perturbed Hammerstein integral equations with functional terms that depend on several parameters. The nonlinearities and the functionals are allowed to depend on the components of the system and their derivatives. The results are applicable to systems of nonlocal second order ordinary differential equations subject to functional boundary conditions, this is illustrated in an example. Our approach is based on the classical fixed point index.

A fixed point index for maps with Borsuk-presentable fixed point set

1982 ◽  
Vol 38 (1) ◽  
pp. 549-555
Author(s):  
Christian C. Fenske
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Point Index ◽  
Fixed Point Set ◽  
Point Set

Fixed point index of uniform limit of set-Valued strict set-contractive mappings and its applications

1990 ◽  
Vol 11 (11) ◽  
pp. 1013-1026
Author(s):  
Ding Xie-ping ◽  
Lan Kun-quan
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Point Index ◽  
Uniform Limit ◽  
Contractive Mappings

scholarly journals Fixed point index and decompositions of isolated invariant compacta

2004 ◽  
Vol 141 (1-3) ◽  
pp. 207-223
Author(s):  
Francisco R. Ruiz del Portal ◽  
José M. Salazar
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Point Index

scholarly journals Isolating Segments, Fixed Point Index, and Symbolic Dynamics II. Homoclinic Solutions

2001 ◽  
Vol 172 (1) ◽  
pp. 189-211 ◽  
Author(s):  
Klaudiusz Wójcik ◽  
Piotr Zgliczyński
Keyword(s):  
Fixed Point ◽  
Symbolic Dynamics ◽  
Fixed Point Index ◽  
Homoclinic Solutions ◽  
Point Index

scholarly journals Fixed point index and fixed point theorem for Euclidean neighborhood retracts

Topology ◽  
1965 ◽  
Vol 4 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Albrecht Dold
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Index ◽  
Point Index

The Leray—Schauder Fixed-Point Index

1986 ◽  
pp. 519-553
Author(s):  
Eberhard Zeidler
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Point Index ◽  
Schauder Fixed Point
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