header
Local cover image
Local cover image
Image from OpenLibrary

On Sturm-Liouville theory for Hahn difference operator / Samer Derhem Hussein Makharesh ; Supervsied Mahmoud Annaby , Alaa Eldeen Hamza

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Samer Derhem Hussein Makharesh , 2016Description: 121 P. ; 25cmOther title:
  • حول نظرية شتورم ليوفيل لمؤثر هان الفرقى [Added title page title]
Subject(s): Online resources: Available additional physical forms:
  • Issued also as CD
Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics Summary: This thesis introduces a comprehensive study for Sturm-Liouville theory of the q,{u019C}-Hahn difference operators in the regular setting. We define a hilbert space of q,{u019C}-square summable functions in terms of Jackson-Nörlund integral. The formulation of the self-adjoint operator and the properties of the eigenvalues and the eigenfunctions are discussed. The construction of green{u2019}s function is developed and study for q,{u019C}-fredholem integral operator is established. Hence, an eigenfunctions expansion theorem is derived and illustrative examples are exhibited. We also introduce a numerical simulations and illustrations. We give some comparisons between trigonometric functions and the q,{u019C}-counterparts. We also test numerically the asymptotic behaviour of the zeros of q,{u019C}-trigonometric functions. The numerical experiments precisely reflects the theoretical results with this respect
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Home library Call number Copy number Status Barcode
Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2016.Sa.O (Browse shelf(Opens below)) Not for loan 01010110072101000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2016.Sa.O (Browse shelf(Opens below)) 72101.CD Not for loan 01020110072101000

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

This thesis introduces a comprehensive study for Sturm-Liouville theory of the q,{u019C}-Hahn difference operators in the regular setting. We define a hilbert space of q,{u019C}-square summable functions in terms of Jackson-Nörlund integral. The formulation of the self-adjoint operator and the properties of the eigenvalues and the eigenfunctions are discussed. The construction of green{u2019}s function is developed and study for q,{u019C}-fredholem integral operator is established. Hence, an eigenfunctions expansion theorem is derived and illustrative examples are exhibited. We also introduce a numerical simulations and illustrations. We give some comparisons between trigonometric functions and the q,{u019C}-counterparts. We also test numerically the asymptotic behaviour of the zeros of q,{u019C}-trigonometric functions. The numerical experiments precisely reflects the theoretical results with this respect

Issued also as CD

There are no comments on this title.

to post a comment.

Click on an image to view it in the image viewer

Local cover image