A counterexample in nonlinear boundary value problems
Author:
J. W. Heidel
Journal:
Proc. Amer. Math. Soc. 34 (1972), 133-137
MSC:
Primary 34B15
DOI:
https://doi.org/10.1090/S0002-9939-1972-0293160-X
MathSciNet review:
0293160
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Abstract | References | Similar Articles | Additional Information
Abstract: For the boundary value problem below where initial value problems of
are unique and exist on
it is known that global uniqueness on
implies global existence on
if
. It is also known that this is false if
and
. It is shown here by example that this is also false if
and
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0293160-X
Keywords:
Nonlinear boundary value problems,
second order differential equations,
global uniqueness,
global existence
Article copyright:
© Copyright 1972
American Mathematical Society