Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF
How to Cite this Article

International Journal of Mathematics and Mathematical Sciences 
Volume 14 (1991), Issue 1, Pages 99-110
doi:10.1155/S0161171291000108

On point-dissipative systems of differential equations with quadratic nonlinearity

Anile K. Bose, Alan S. Cover, and James A. Reneke

Department of Mathematical Sciences, Clemson University, Clemson 29634-1907, SC, USA

Received 25 April 1990

Abstract

The system x′=Ax+f(x) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property xTf(x)=0 for all x, is point-dissipative if uTAu<0 for all nontrivial zeros u of f(x).