کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632861 | 1340656 | 2009 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales](/preview/png/4632861.png)
چکیده انگلیسی
We obtain Willett-Wong-type oscillation and nonoscillation theorems for second order linear dynamic equations with integrable coefficients on a time scale. The results obtained extend and are motivated by oscillation and nonoscillation results due to Willett [20] and Wong [21] for the second order linear differential equation. As applications of the new results obtained, we give the complete classification of oscillation and nonoscillation for the difference equationsÎ2x(n)+b(-1)ntcx(n+1)=0 andÎ2x(n)+atc+1+b(-1)ntcx(n+1)=0for tâN,a,b,câR. We also improve a nonoscillation result of Mingarelli [17] and extend an oscillation result of Del Medico and Kong [7].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 5, 1 November 2009, Pages 1868-1885
Journal: Applied Mathematics and Computation - Volume 215, Issue 5, 1 November 2009, Pages 1868-1885
نویسندگان
Lynn Erbe, Jia Baoguo, Allan Peterson,