Contributions to Books:
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.
English abstract:
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
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2009/asc47x2009.pdf
Created from the Publication Database of the Vienna University of Technology.