Neumann and Periodic Boundary-Value Problems for Quasilinear Ordinary Differential Equations with a Nonlinearity in the Derivative
Date
2000-10-16
Authors
Girg, Petr
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
p-Laplacian, Leray-Schauder degree, Landesmann-Lazer condition
Citation
Girg, P. (2000). Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative. <i>Electronic Journal of Differential Equations, 2000</i>(63), pp. 1-28.
Rights
Attribution 4.0 International