کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633262 1340666 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Picone type identities and definiteness of quadratic functionals on time scales
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Picone type identities and definiteness of quadratic functionals on time scales
چکیده انگلیسی
In this paper we derive a new sufficient condition for the nonnegativity of time scale quadratic functionals associated to time scale symplectic systems. To establish this result, a new global Picone formula is derived. Another proof of a special case of the result is shown to be obtained via a Sturmian comparison technique. Furthermore, we derive several new Picone type identities which, in particular, do not impose a certain delta-differentiability assumption, and we survey known ones from the literature. The results in this paper complete our earlier work on the definiteness of a time scale quadratic functional in terms of its corresponding time scale symplectic system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 7, 1 December 2009, Pages 2425-2437
نویسندگان
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