Jian-Ping Sun, Hai-E Zhang
Abstract:
This paper concerns the third-order m-point boundary-value problem
where
is
-Caratheodory,
,
,
()
and
.
Some criteria for the existence of at least one solution are
established by using the well-known Leray-Schauder Continuation Principle.
Submitted March 25, 2008. Published September 4, 2008.
Math Subject Classifications: 34B10, 34B15.
Key Words: Third-order m-point boundary-value problem; Caratheodory;
Leray-Schauder continuation principle.
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Jian-Ping Sun Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu, 730050, China email: jpsun@lut.cn | |
Hai-E Zhang Department of Basic Teaching, Tangshan College Tangshan, Hebei 063000, China email: ninthsister@tom.com |
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