کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471640 698653 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Second-order oscillation of forced functional differential equations with oscillatory potentials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Second-order oscillation of forced functional differential equations with oscillatory potentials
چکیده انگلیسی

New oscillation criteria are established for second-order differential equations containing both delay and advanced arguments of the form, (k(t)x′(t))′+p(t)|x(τ(t))|α−1x(τ(t))+q(t)|x(σ(t))|β−1x(σ(t))=e(t),t≥0(k(t)x′(t))′+p(t)|x(τ(t))|α−1x(τ(t))+q(t)|x(σ(t))|β−1x(σ(t))=e(t),t≥0 where α ≥ 1 and β ≥1; k, p, q, e, τ, σ are continuous real-valued functions; k(t) > 0 is nondecreasing; τ and o are nondecreasing, τ(t) ≥ t, σ(t) ≥ t, and limt → ∞ τ(t) = ∞ The potentials p, q, and e are allowed to change sign and the information on the whole half-line is not required as opposed to the usual case in most articles. Among others, as an application of the results we are able to deduce that every solution of x″(t)+m1sintx(t−π12)+m2costx(t+π6)=cos2t,m1,m2≥0 is oscillatory provided that either m1 orm2 is sufficiently large.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 51, Issues 9–10, May 2006, Pages 1395–1404
نویسندگان
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