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العنوان
A study on the oscillation of first order nonlinear functional differential equations of neutral type /
المؤلف
Balta, Mohamed Hassan Hassan,
هيئة الاعداد
باحث / محمد حسن حسن بلطة
مشرف / المتولي محمد العباسي
مشرف / مجدي يوسف برسوم
مناقش / عادل عزمي ابادير
الموضوع
Functional differential equations.
تاريخ النشر
2009.
عدد الصفحات
208 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات
تاريخ الإجازة
1/1/2009
مكان الإجازة
جامعة المنصورة - كلية العلوم - mathematics
الفهرس
Only 14 pages are availabe for public view

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Abstract

The aim of this thesis is to study the sufficient conditions for the oscillation of solutions of functional differential equations where in recent year there has been much research activity concerning the oscillation of neutral delay differential equations. New applications , which involve neutral delay differential equations, appears in networks containing lossless transmission lines, in vibrating masses attached to elastic bar and also as the Euler equation in some volitional problems, continue to arise with increasing frequency in the modeling of diverse phenomena in physics, biology, ecology and physiology. In this thesis , we discussed oscillatory of the solutions of neutral delay differential equations in the form (1) (2) (3) (4) , qi ( t ) f(y ( t – i)) = e ( t ) , t  tk (5) ( y ( t ) – p y ( t –  )) + y ( ) – y ( tk ) = bk y ( tk ) , k  z+. (6) ( y ( t ) – p y ( t –  )) + qi ( t ) y ( t – i) = e ( t ) , t  tk y ( ) – y ( tk ) = bk y ( tk ) , k  z+.