Sui Sun Cheng, Bin Liu, & Jian-She Yu
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.
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Department of Mathematics, Hubei Normal Univeristy
Huangshi, Hubei 435002, P. R. China
Department of Applied Mathematics, Hunan University
Changsha, Hunan 410082, P. R. China