Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 101-107.

Title: An abstract existence result and its applications.

Authors: Sui Sun Cheng (Tsing Hua Univ., Taiwan, China) 
  Bin Liu (Hubei Normal Univ., Huangshi, China) 
  Jian-She Yu (Hunan Univ. Changsha, China)
 
Abstract: 
  By means of Borsuk's theorem and continuation through an
  admissible homotopy, we establish an existence theorem for 
  operator equation with homogeneous nonlinearity. We illustrate our 
  theorem by considering a perturbed functional differential 
  equation under periodic boundary conditions. 

Published January 8, 2001.
Math Subject Classifications: 34K10, 34C20.
Key Words: Borsuk's theorem; Fredholm mapping;
 perturbed differential equation; periodic solution.