Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 63, pp. 1-28.

Title: Neumann and periodic boundary-value problems for quasilinear 
  ordinary differential equations with a nonlinearity in the derivative

Author: Petr Girg (Univ. of West Bohemia, Plzen, Czech Republic)
         
Abstract: 
 We present sufficient conditions for the existence of  solutions 
 to Neumann and periodic boundary-value problems for some class of
 quasilinear ordinary differential equations. We also show that 
 this condition is necessary for certain nonlinearities. 
 Our results involve the p-Laplacian, the mean-curvature operator 
 and nonlinearities blowing up.  

Submitted July 18, 2000. Published October 16, 2000.
Math Subject Classifications: 34B15, 47H14.
Key Words: p-Laplacian; Leray-Schauder degree; Landesmann-Lazer condition.