Multiple Fixed-Point Theorems and Applications in the Theory ... - 9780367464325

CRC Press

1. Fixed Point Index Theory. Multiple Fixed Point Theorems \n1.1 Measures of Noncompactness \n1.2 The Brower Fixed Point Theorem. The Schauder Fixed Point \nTheorem \n1.3 Fixed Points of Strict Set Contractions \n1.4 The Kronecker Index \n1.5 The Brower Degree \n1.5.1 Smooth Mappings \n1.5.2 Homotopy Invariance \n1.5.3 Continuous Mappings. Basic Properties \n1.5.4 The Case f : D _ Rn !Sn1 \n1.6 The Leray-Schauder Degree \n1.7 The Fixed Point Index for Completely Continuous Mappings \n1.8 The Fixed Point Index for Strict Set Contractions \n1.9 Multiple Fixed Point Theorems \n2. Applications to ODEs \n2.1 Periodic Solutions for First Order ODEs \n2.2 BVPs for First Order ODEs \n2.3 BVPs for Second Order ODEs \n2.4 BVPs with Impulses \n3. Applications to FDEs \n3.1 Global existence for a class fractional-differential equations \n3.2 Multiple Solutions for a BVP of Nonlinear Riemann-Liouville \nFractional Differential Equations . \n3.3 Multiple Solutions for a BVP of Nonlinear Caputo Fras