Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 78, pp. 1-11. Title: Delay differential equations with homogeneous integral conditions Authors: Abdur Raheem (Indian Inst. of Technology, Kanpur, India) Dhirendra Bahuguna (Indian Inst. of Technology, Kanpur, India) 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.