Henderson J. Boundary Value Problems for Second-Order Finite Diff Equations 2023

Textbook in PDF format

This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations. Coverage includes second-order finite difference equations and systems of second-order finite difference equations subject to diverse multi-point boundary conditions, and various methods to study the existence of positive solutions for these problems.
Presents second-order finite difference equations and systems of difference equations subject to multi-point boundary conditions.
Covers Green functions and the construction used in positive solutions.
Authors are recognized experts.
Preface
Second-order finite difference equations with multi-point boundary conditions
Systems of second-order finite difference equations with uncoupled multi-point boundary conditions
Systems of second-order finite difference equations with nonnegative nonlinearities, coupled multi-point boundary conditions, and positive parameters
Systems of second-order finite difference equations with nonnegative nonlinearities, coupled multi-point boundary conditions, without parameters
Systems of second-order finite difference equations with sign-changing nonlinearities and coupled multi-point boundary conditions
Nonlinear fractional difference equations with nonlocal boundary conditions
Bibliography
Index