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Decay of solutions of a nonlinear viscoelastic hyperbolic equation
Other Title(s)
سلوك حلول المعادلات التفاضلية الجزئية الزائدية غير الخطية بوجود دالة الذاكرة
Author
Source
An-Najah University Journal for Research-A : Natural Sciences
Issue
Vol. 26, Issue 1 (31 Dec. 2012), pp.19-42, 24 p.
Publisher
An-Najah National University Deanship of Scientific Research
Publication Date
2012-12-31
Country of Publication
Palestine (West Bank)
No. of Pages
24
Main Subjects
Abstract AR
في هذا البحث، نحن بصدد دراسة سلوك حلول المعادلات من الشكل (P) عندما الزمن t يؤول إلى المالانهاية، تحت بعض الشروط على دالة الذاكرة g و الوسيطينm ,p .
سنجد أن هناك تناقص على شكل أسي للطاقة (سلوك الحلول) عندما m=2 و تناقص على شكل كثير الحدود عندما m>2 بشرط أخذ المعطيات الابتدائية صغيرة ما أمكن.
Abstract EN
In this work, we are going to study under some conditions on p, m and suitable conditions on g, the decay of solutions of the nonlinear viscoelastic hyperbolic equation in problem (P) as t : (P) Where Ω is a bounded domain in RN (N>1), with smooth boundary Γ, and a, b, w are positive constants, m≥2, p≥2, and the function g(t) satisfying some conditions.
We show that the energy of solutions decays exponentially if m=2 and polynomial if m>2, provided that the initial data are small enough.
American Psychological Association (APA)
Zunayr, Khalid. 2012. Decay of solutions of a nonlinear viscoelastic hyperbolic equation. An-Najah University Journal for Research-A : Natural Sciences،Vol. 26, no. 1, pp.19-42.
https://search.emarefa.net/detail/BIM-754103
Modern Language Association (MLA)
Zunayr, Khalid. Decay of solutions of a nonlinear viscoelastic hyperbolic equation. An-Najah University Journal for Research-A : Natural Sciences Vol. 26, no. 1 (2012), pp.19-42.
https://search.emarefa.net/detail/BIM-754103
American Medical Association (AMA)
Zunayr, Khalid. Decay of solutions of a nonlinear viscoelastic hyperbolic equation. An-Najah University Journal for Research-A : Natural Sciences. 2012. Vol. 26, no. 1, pp.19-42.
https://search.emarefa.net/detail/BIM-754103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 40-42
Record ID
BIM-754103