کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472940 698758 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some new results on a linear equation of the second order
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Some new results on a linear equation of the second order
چکیده انگلیسی

Work on solving the second order linear oscillation defined by Eq. (1.1), with continuous and positive coefficient Φ(x)Φ(x) that satisfies Lipschitz’s condition on semi-axis [0,+∞)[0,+∞) and the divergence of ∫0+∞(Φ−G′2)dx, had started since the 1830s with Sturm’s theorems. This paper presents generalizations as well as a simplification of classical Sturm’s theorems on the location and the position of zero oscillations, which have not been included in Amrein et al. (2005) [5]. Besides, according to results from Dimitrovski and Mijatović (1997) [1], Dimitrovski et al. (2007) [2] and Dimitrovski et al. (2007) [4], we add some ideas and supplements (Theorems 2.4–2.8, 2.10 and 2.11) to the classical Sturm’s theory of oscillations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 7, April 2011, Pages 1837–1843
نویسندگان
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