On an initial value problem of delay-refereed differential Equation

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2020 by IJMTT Journal
Volume-66 Issue-5
Year of Publication : 2020
Authors : EL-Sayed A.M.A, Ebead H.R
  10.14445/22315373/IJMTT-V66I5P504

MLA

MLA Style:EL-Sayed A.M.A, Ebead H.R "On an initial value problem of delay-refereed differential Equation" International Journal of Mathematics Trends and Technology 66.4 (2020):32-37. 

APA Style: EL-Sayed A.M.A, Ebead H.R(2020). On an initial value problem of delay-refereed differential Equation International Journal of Mathematics Trends and Technology, 32-37.

Abstract
In this paper we study the existence of positive solutions for an initial value problem of a delay-refereed differential equation. The continuous dependence of the unique solution on the initial data and the delay-refereed function will be proved. Some especial cases and examples will be given.

Reference
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Keywords
Delay-refereed differential equation, existence of solutions, continuous dependence, Arzela-Ascoli Theorem, Schauder fixed point Theorem.