Search In this Thesis
   Search In this Thesis  
العنوان
Oscillation and nonoscillation of solutions of second order differential equations /
المؤلف
Gad, Nadia Abd El-Razik.
هيئة الاعداد
باحث / ناديه عبدالرازق جاد
مشرف / احمد خليل النعناع
مشرف / عادل عزمي ابادير.
مناقش / احمد خليل النعناع
مناقش / عادل عزمي ابادير.
الموضوع
Hypergeometric functions.
تاريخ النشر
2006.
عدد الصفحات
73 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2006
مكان الإجازة
جامعة دمياط - كلية العلوم - قسم الرياضيات
الفهرس
Only 14 pages are availabe for public view

from 93

from 93

Abstract

This study is concerned with the behavior of solutions of second order ordinary linear differential equations. This thesis consists of five chapters as follows: Chapter(1) (Basic definitions and theorems) contains the form of the used equations in this study, the purpose of the study and the used transformations, basic definitions and fundamental results, and a list of some known oscillation and nonoscillation criteria . Chapter(2) (Oscillation and nonoscillation theorems using Prufer technique) contains Prufer transformation, auxiliary lemmas, and new theorems using Prufer technique. Chapter(3) (Generalizations of known criteria in oscillation and nonoscillation) contains Riccati transformation and oscillation, auxiliary lemmas, and generalization of known theorems in oscillation and nonoscillation. Chapter(4) (New oscillation and nonoscillation criteria) contains new theorems in oscillation and nonoscillation, auxiliary propositions, and some other results in oscillation and nonoscillation. Chapter(5) (Relation between the solutions of linear nonhomogeneous equation and the nonhomogeneous term) contains preliminary lemmas and main results.