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العنوان
Periodic solutions of second order differential equation and their stability /
المؤلف
Zekir, Mohamed Samir Abd El-Baki Esmaiel.
هيئة الاعداد
باحث / محمد سمير عبدالباقي إسماعيل زاكير
مشرف / ف. البتنوني
مشرف / هـ. العويضي
باحث / محمد سمير عبدالباقي إسماعيل زاكير
الموضوع
Differential equations - Mathematical models. Differential equations - Data processing.
تاريخ النشر
1977.
عدد الصفحات
70P. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات
تاريخ الإجازة
1/1/1977
مكان الإجازة
جامعة المنصورة - كلية العلوم - Mathematics
الفهرس
Only 14 pages are availabe for public view

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from 73

Abstract

In the work presented in this thesis, we considered the autonomous perturbations of Van der pol’s equation (1.2). Adetailed study for a D - periodic soluation of (1.2) is carried out. The following two cases are investigated: (I) Exactly are characteristic multiplier of (1.3) is equal to + 1. (II) Both the characteristic multiplier of (1.3) are both equal to + 1. The existence, uniqueness and stability of the D - periodic solution of the perturbed Van der Pol’s equation are studied and proved. The implicit function technique was idely used in the proofs.