Existence of Solutions to Quasilinear Delay Differential Equations with Nonlocal Conditions

  IJMTT-book-cover
 		 International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2014 by IJMTT Journal
Volume-8 Number-1                          
Year of Publication : 2014
Authors : Francis Paul Samuel , Tumaini Lisso , Kayiita Zachary
  10.14445/22315373/IJMTT-V8P501

MLA

Francis Paul Samuel , Tumaini Lisso , Kayiita Zachary. "Existence of Solutions to Quasilinear Delay Differential Equations with Nonlocal Conditions", International Journal of Mathematical Trends and Technology (IJMTT). V8:1-7 April 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
We prove the existence and uniqueness of mild and classical solution to a quasilinear delay differential equation with nonlocal condition. The results are obtained by using C0-semigroup and the Banach fixed point theorem.

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Keywords
Semigroup; mild solution; Banach fixed point theorem