• stability of delay integro-differential equations using a spectral element method

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 787
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     this paper describes a spectral element approach for studying the stability of delay integro-differential equations (dides). in contrast to delay differential equations (ddes) with discrete delays that act point-wise, the delays in dides are distributed over a period of time through an integral term. although both types of delays lead to an infinite dimensional state-space, the analysis of ddes with distributed delays is far more involved. nevertheless, the approach that we describe here is applicable to both autonomous and non-autonomous dides with smooth bounded kernel functions. we also describe the stability analysis of dides with special kernels (gamma-type kernel functions) via converting the dide into a higher order dde with only discrete delays. this case of dides is of practical importance, e.g., in modeling wheel shimmy phenomenon. a set of case studies are then provided to show the effectiveness of the proposed approach.

سوال خود را در مورد این مقاله مطرح نمایید :

با انتخاب دکمه ثبت پرسش، موافقت خود را با قوانین انتشار محتوا در وبسایت تی پی بین اعلام می کنم
مقالات جدیدترین رویدادها
مقالات جدیدترین ژورنال ها