Archiv der Mathematik

, Volume 86, Issue 2, pp 163–175

Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations

  • K. G. Mavridis
  • Ch. G. Philos
  • P. Ch. Tsamatos
Original Paper

DOI: 10.1007/s00013-005-1155-y

Cite this article as:
Mavridis, K.G., Philos, C.G. & Tsamatos, P.C. Arch. Math. (2006) 86: 163. doi:10.1007/s00013-005-1155-y

Abstract.

By using the Schauder fixed point theorem, we establish a result for the existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations. We also present the application of our result to the special case of second order nonlinear ordinary differential equations as well as to a specific class of second order nonlinear delay differential equations. Moreover, we give a general example which demonstrates the applicability of our result.

Mathematics Subject Classification (2000).

Primary 34K10 34B40 Secondary 47H10 

Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  • K. G. Mavridis
    • 1
  • Ch. G. Philos
    • 1
  • P. Ch. Tsamatos
    • 1
  1. 1.Department of MathematicsUniversity of IoanninaIoanninaGreece