000			02111cam a2200337 a 4500
003			EG-GiCUC
005			20250223031744.0
008			170716s2016 ua f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aM.Sc
099			_aCai01.12.17.M.Sc.2016.Sa.O
100	0		_aSamer Derhem Hussein Makharesh
245	1	0	_aOn Sturm-Liouville theory for Hahn difference operator / _cSamer Derhem Hussein Makharesh ; Supervsied Mahmoud Annaby , Alaa Eldeen Hamza
246	1	5	_aحول نظرية شتورم ليوفيل لمؤثر هان الفرقى
260			_aCairo : _bSamer Derhem Hussein Makharesh , _c2016
300			_a121 P. ; _c25cm
502			_aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aThis 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
530			_aIssued also as CD
653		4	_aHahn Difference operator
653		4	_aq-difference operator
653		4	_aSturm-Liouville theory
700	0		_aAlaa Eldeen Hamza , _eSupervisor
700	0		_aMahmoud Annaby , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aSamia _eCataloger
942			_2ddc _cTH
999			_c61565 _d61565