Singular two point boundary value problems for second order differential equations
نویسندگان
چکیده
منابع مشابه
Initial value problems for second order hybrid fuzzy differential equations
Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia
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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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has been studied by many authors from the pioneering work of Picard 1 , who proved the existence of a solution by an application of the well-known method of successive approximations under a Lipschitz condition on g and a smallness condition on T . Sharper results were obtained by Hamel 2 in the special case of a forced pendulum equation see also 3, 4 . The existence of periodic solutions for t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1992
ISSN: 0022-247X
DOI: 10.1016/0022-247x(92)90017-8