Electron. J. Diff. Eqns., Vol. 2007(2007), No. 106, pp. 1-35.

Behavior of the solutions to second order linear autonomous delay differential equations

Christos G. Philos, Ioannis K. Purnaras

Abstract:
A wide class of second order linear autonomous delay differential equations with distributed type delays is considered. An asymptotic result, a useful exponential estimate of the solutions, a stability criterion, and a result on the behavior of the solutions are established.

Submitted February 16, 2007. Published July 30, 2007.
Math Subject Classifications: 34K20, 34K25.
Key Words: Delay differential equation; asymptotic behavior; stability; behavior of solutions; characteristic equation.

Show me the PDF file (271 KB), TEX file, and other files for this article.

Christos G. Philos
Department of Mathematics
University of Ioannina
P. O. Box 1186, 451 10 Ioannina, Greece
email: cphilos@cc.uoi.gr
Ioannis K. Purnaras
Department of Mathematics
University of Ioannina
P. O. Box 1186, 451 10 Ioannina, Greece
email: ipurnara@cc.uoi.gr

Return to the EJDE web page