Katarzyna Szymanska
Abstract:
We prove the existence of at least one solution to a nonlinear
second-order differential equation on the half-line,
with the boundary conditions x'(0)=0
and with the first derivative
vanishing at infinity. Our main tool is the multi-valued version
of the Miranda Theorem.
Submitted June 20, 2007. Published November 21, 2007.
Math Subject Classifications: 34B15, 34B40.
Key Words: Asymptotic boundary value problem; resonant problem;
nonlinear boundary value problem; set-valued maps.
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| Katarzyna Szymanska Institute of Mathematics Technical University of Lodz 90-924 Lodz, ul. Wolczanska 215, Poland email: grampa@zb.net.lodz.pl |
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