Some Gronwall Type Inequalities and Applications
(pdf) (ps) (197 pages in total)
|The main aim of the present research monograph is to present some natural
applications of Gronwall inequalities with nonlinear kernels of Lipschitz type to the
problems of boundedness and convergence to zero at infinity of the solutions of
certain Volterra integral equations. Stability, uniform stability, uniform asymptotic
stability and global asymptotic stability properties for the trivial solution of certain
differential system of equations are also investigated.
Note: This book is not in final form. The author invites
researchers who have published relevant papers to contact him for their results to be included in a new version.
Alpha version: 17th October, 2000