The convex Darboux theorem and applications
Dissertant
Thesis advisor
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2021
Arabic Abstract
تهدف هذه الرسالة لدراسة نظرية داربو المقعرة و تطبيقاتها لكل من ايكلاند و نيرينبيرغ.
بالإضافة لذلك سوف نعطي الشروط الضرورية والكافية لكتابة شكل تفاضلي متجانس على الشكل التاليw = fdgi ++ fhdge في جوار نقطة معينة بحيث تكون الاقترانات ....
متجانسة من أي درجة و الاقترانات .....
متجانسة من درجة الصفر.
في النهاية، سوف نعطي بعض التطبيقات الاقتصادية للنتيجتين السابقتين من نظرية المستهلك.
English Abstract
In this thesis, we review the convex Darboux theorem by Ekeland and Nirenberg [14].
Moreover, we give the necessary and sufficient conditions for a smooth k-homogeneous differential 1-form ω defined in a neighborhood U of some point ¯x ∈ R n to be decomposed as ω = f 1 (x)dg1(x) + .
.
.
+ f k (x)dgk(x) for all x in some neighborhood V ⊂ U of ¯x where f 1 , .
.
.
, f k are homogeneous functions of arbitrary degree and g1, .
.
.
, gk are homogeneous of degree zero.
Finally, we give some economic applications to both results from consumer theory
Main Subjects
No. of Pages
83
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Some basic definitions and results.
Chapter Two : Exterior differential calculus.
Chapter Three : Convex darboux theorem.
Chapter Four : Decomposition of homogeneous differential forms.
Chapter Five : Applications.
References.
American Psychological Association (APA)
Shalalfah, Muhammad. (2021). The convex Darboux theorem and applications. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-1429212
Modern Language Association (MLA)
Shalalfah, Muhammad. The convex Darboux theorem and applications. (Master's theses Theses and Dissertations Master). Birzeit University. (2021).
https://search.emarefa.net/detail/BIM-1429212
American Medical Association (AMA)
Shalalfah, Muhammad. (2021). The convex Darboux theorem and applications. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-1429212
Language
English
Data Type
Arab Theses
Record ID
BIM-1429212
