I. Rachunkova, S. Stanek, E. Weinmüller, M. Zenz:

"Neumann problems with time singulatities";

in: "ASC Report 47/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

In this paper we study the existence and uniqueness of solutions

to a nonlinear Neumann problem for a scalar second order ordinary differential

equation

u′′ =

a

t

u′ + f(t, u, u′),

where a ∈ R \ {0}, and f(t, x, y) satisfies the Lp-Carath´eodory conditions on

[0, T] × R2 for some p > 1.

Key words: Singular boundary value problem, Neumann problem, time singularity

of the first kind, existence and uniqueness of solution, collocation methods,

lower and upper functions

http://www.asc.tuwien.ac.at/preprint/2009/asc47x2009.pdf

Created from the Publication Database of the Vienna University of Technology.