The Contraction Mapping Principle and Some Applications
by Robert M. Brooks, Klaus Schmitt
Publisher: American Mathematical Society 2009
Number of pages: 90
Description:
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric and iterated function systems.
Download or read it online for free here:
Download link
(690KB, PDF)
Similar books
A Second Course in Elementary Ordinary Differential Equationsby Marcel B. Finan - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(12403 views)
Ordinary Differential Equationsby Dmitry Panchenko - University of Toronto
Contents: First order differential equations; Existence and uniqueness of solutions for first order differential equations; Systems of first order equations and higher order linear equations; Solving higher order linear differential equations; etc.
(6238 views)
Second-order Ordinary Differential Equationsby R.S. Johnson - Bookboon
This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions, Sturm-Liouville theory and the definition, properties and use of various integral transforms.
(9735 views)
Linearization via the Lie Derivativeby Carmen Chicone, Richard Swanson - American Mathematical Society
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
(9253 views)