Electron. J. Diff. Equ., Vol. 2013 (2013), No. 78, pp. 1-11.

Delay differential equations with homogeneous integral conditions

Abdur Raheem, Dhirendra Bahuguna

Abstract:
In this article we prove the existence and uniqueness of a strong solution of a delay differential equation with homogenous integral conditions using the method of semidiscretization in time. As an application, we include an example that illustrates the main result.

Submitted April 6, 2012. Published March 22, 2013.
Math Subject Classifications: 35D35, 34K05, 34K07, 34K10, 34K30.
Key Words: Method of semidiscretization; delay differential equation; strong solution.

Show me the PDF file (209 KB), TEX file, and other files for this article.

Abdur Raheem
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur -208016, India
email: araheem@iitk.ac.in
Dhirendra Bahuguna
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur -208016, India
email: dhiren@iitk.ac.in

Return to the EJDE web page