USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 101-107.
An abstract existence result and its applications
Sui Sun Cheng, Bin Liu, & Jian-She Yu
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.
Show me the
PDF file (100K),
TEX file, and other files for this article.
Sui Sun Cheng
Department of Mathematics, Tsing Hua University
Taiwan 30043, R. O. China
e-mail: sscheng@math.nthu.edu.tw
Bin Liu
Department of Mathematics, Hubei Normal Univeristy
Huangshi, Hubei 435002, P. R. China
Jian-She Yu
Department of Applied Mathematics, Hunan University
Changsha, Hunan 410082, P. R. China
Return to the EJDE web page