The Fixed Point Index

2014 ◽  
pp. 109-112
Author(s):  
Robert F. Brown
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
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

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
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