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

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.

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 Fixed point index for $G$-equivariant multivalued maps

1996 ◽  
Vol 8 (1) ◽  
pp. 179
Author(s):  
Zdzisław Dzedzej ◽  
Grzegorz Graff
Keyword(s):  
Fixed Point ◽  
Fixed Point Index ◽  
Point Index ◽  
Multivalued Maps
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