The Right-Hand Derivative of an Integral
نویسندگان
چکیده
منابع مشابه
The Right-Hand Derivative of an Integral
In this note, we provide a general result that explains the examples contained in [1], [3], [4], and [5]. We also observe with interest that this problem seems to have been proposed anew at nearly regular intervals of ten to fifteen years. The article [2] also contains a discussion of this problem. Using the notation in [3], suppose that f is a real-valued function defined on the interval [0, 1...
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where function φ is not supposed continuous with respect to the second variable. The reason for studying (1.1) arises mainly from the paper [3]. Indeed, [3, Theorem A] gives the existence of solutions for (1.1) assuming, among the other hypotheses, that φ is a Carathéodory function and that f does not depend on t ∈ [0,a]. We note that, using the arguments employed in the proof of Theorem A of [...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2002
ISSN: 0002-9890,1930-0972
DOI: 10.1080/00029890.2002.11919887