Asymptotically Almost Periodic Generalized Ultradistributions and Application

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
View: 82

This Paper With 30 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_SCMA-21-1_001

تاریخ نمایه سازی: 11 دی 1402

Abstract:

The paper aims to introduce and study an algebra of asymptotically almost periodic generalized ultradistributions. These generalized ultradistributions contain  asymptotically almost periodic ultradistributions and asymptotically almost periodic generalized functions. The definition and main properties of these generalized ultradistributions are studied. An application to difference differential systems is given.

Keywords:

Asymptotic almost periodicity , Ultradistributions , Generalized functions , Asymptotically almost periodic generalized ultradistributions , Difference differential equations

Authors

Meryem Slimani

Laboratory of Mathematical Analysis and Applications, University of Oran ۱, Ahmed Ben Bella, ۳۱۰۰۰, Oran, Algeria.

Fethia Ouikene

Universite des Sciences et de la Technologie d'Oran Mohamed-Boudiaf USTOMB El Mnaouar, BP ۱۵۰۵, Bir El Djir ۳۱۰۰۰, Oran, Algerie.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • K. Benmeriem and C. Bouzar, Generalized Gevrey ultradistributions, New York ...
  • K. Benmeriem and C. Bouzar, An algebra of generalized Roumieu ...
  • S. Bochner, A new approach to almost periodicity, Proc. Natl. ...
  • H. Bohr, Almost periodic functions, Chelsea, ۱۹۴۷ ...
  • C. Bouzar and M.T. Khalladi, Almost periodic generalized functions, Novi ...
  • C. Bouzar and M.T. Khalladi, Linear differential equations in the ...
  • C. Bouzar and M.T. Khalladi, Asymptotically almost periodic generalized functions, ...
  • C. Bouzar and M.T. Khalladi, On asymptotically almost periodic generalized ...
  • C. Bouzar and F. Ouikene, Almost periodic generalized ultradistributions, Filomat, ...
  • C. Bouzar and F. Ouikene, Almost periodic generalized solutions of ...
  • C. Bouzar and M. Slimani, Asymptotic almost automorphy for algebras ...
  • C. Bouzar and F.Z. Tchouar, Asymptotic almost automorphy of functions ...
  • R. D. Carmichael, A. Kaminski and S. Pilipovic, Boundary values ...
  • I. Cioranescu, Asymptotically almost periodic distributions, Appl. Anal., ۳۴ (۱۹۹۰), ...
  • I. Cioranescu, The characterization of the almost periodic ultradistributions of ...
  • J. F. Colombeau, New generalized functions and multiplication of distributions, ...
  • A. M. Fink, Almost periodic differential equations, Lecture Notes in ...
  • M. Frechet, Les fonctions asymptotiquement presque periodiques, Revue Sci., ۷۹ ...
  • M. C. Gomez-Collado, Almost periodic ultradistributions of Beurling and Roumieu ...
  • H. Komatsu, Ultradistributions I. Structure theorems and a characterization, J. ...
  • M. Kostic, Asymptotically almost periodic and asymptotically almost automorphic vector-valued ...
  • S. Pilipovic, Characterization of bounded sets in spaces of ultradistributions, ...
  • L. Schwartz, Theorie des distributions, Hermann, ۲ieme Ed., ۱۹۶۶ ...
  • R.T. Seeley, Extension of C^\infty functions defined in a half ...
  • S.L. Sobolev, Applications of functional analysis in mathematical physics, American ...
  • نمایش کامل مراجع