Multiple solutions to a three-point boundary value problem for higher-order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Boundary value problems for higher order ordinary differential equations
Let f : [a, b] × R n+1 → R be a Carathéodory's function. Let {t h }, with t h ∈ [a, b], and {x h } be two real sequences. In this paper, the family of boundary value problems´x is considered. It is proved that these boundary value problems admit at least a solution for each k ≥ ν, where ν ≥ n + 1 is a suitable integer. Some particular cases, obtained by specializing the sequence {t h }, are poi...
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is integrable in the first argument on [a + ε, b − ε] for arbitrary ρ ∈ [0,+∞[ and ε ∈ ]0, (b− a)/2[ . Of special interest for us is the case where the function f (and therefore the function f) is non-integrable in the first argument on [a, b], having singularities at the ends of this segment. In this sense the problems (1), (2) and (1), (3) are singular ones. Singular boundary value problems f...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.02.014