Solvability of right focal boundary value problems with superlinear growth conditions

Title
Solvability of right focal boundary value problems with superlinear growth conditions
Author(s)
장성각배명학[배명학]오영선[오영선]
Keywords
ORDINARY DIFFERENTIAL-EQUATIONS; FIXED-SIGN SOLUTIONS; POSITIVE SOLUTIONS; DEVIATING ARGUMENTS; ITERATIVE METHODS; EXISTENCE; UNIQUENESS; SYSTEM; EIGENVALUES
Issue Date
201206
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
BOUNDARY VALUE PROBLEMS
Abstract
In this paper, we consider nth-order two-point right focal boundary value problems u((n))(t) = f (t, u(t), u'(t), ... , u((n-1))(t)), a.e. t is an element of (0, 1), u((i))(0) = 0, i = 0,1, ... , m-1, u((i))(1) = 0, i = m, m+ 1, ... , n-1, where f : [0, 1] x R-n -> R is a L-p-Caratheodory (1 <= p < infinity) function and satisfies superlinear growth conditions. The existence and uniqueness of solutions for the above right focal boundary value problems are obtained by Leray-Schauder continuation theorem and analytical technique. Meanwhile, as an application of our results, examples are given.
URI
http://hdl.handle.net/YU.REPOSITORY/28086http://dx.doi.org/10.1186/1687-2770-2012-60
ISSN
1687-2770
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이과대학 > 수학과 > Articles
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