Generalized uniqueness theorem for ordinary differential equations in Banach spaces

Ezzat R Hassan; M Sh Alhuthali; M M Al-Ghanmi

doi:10.1155/2014/272479

Generalized uniqueness theorem for ordinary differential equations in Banach spaces

ScientificWorldJournal. 2014 Feb 10:2014:272479. doi: 10.1155/2014/272479. eCollection 2014.

Authors

Ezzat R Hassan¹, M Sh Alhuthali¹, M M Al-Ghanmi¹

Affiliation

¹ Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Abstract

We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Computer Simulation
Models, Theoretical*
Numerical Analysis, Computer-Assisted*