Theory of power quantum difference equations / (Record no. 63962)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02729cam a2200337 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223031855.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 171211s2016 ua d f m 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-GiCUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GiCUC |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Deposite |
| 097 ## - Thesis Degree | |
| Thesis Level | M.Sc |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.M.Sc.2016.Mo.T |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mohammed Hussein Hasan Alashwal |
| 245 10 - TITLE STATEMENT | |
| Title | Theory of power quantum difference equations / |
| Statement of responsibility, etc. | Mohammed Hussein Hasan Alashwal ; Supervised Alaa E. Hamza , Samir A. Ashour |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | نظرية المعادلات الفروقية للقوى الكمية |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Mohammed Hussein Hasan Alashwal , |
| Date of publication, distribution, etc. | 2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 85 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This thesis introduces the theory of linear power quantum difference equations associated with the power quantum difference operator. We define the power quantum exponential and trigonometric (hyperbolic) functions and give some of their properties. We prove that they are solutions of difference equations of first and second order respectively. Next, we apply the method of successive approximations to obtain the existence and uniqueness of solutions of linear difference equations in Banach spaces in both local and global cases. Then, we study the theory of linear power quantum difference equations. We introduce the power quantum Wronskian and prove its properties. We show that it is an effective tool to determine whether set of solutions is a fundamental set or not. Hence, we obtain Liouville{u2019}s formula for power quantum difference equations. Also, we derive the solution of the first order linear power quantum difference equation with non-constant coefficients. We derive solutions of Euler-Cauchy difference equations as special cases of second order linear difference equations. Thereafter, we are concerned with constructing a fundamental set of solutions of homogeneous power quantum linear difference equations when the coefficients are constant. Finally, we establish many Pachpatte{u2019}s inequalities based on the power quantum difference operator and as special cases we obtain Gronwall{u2019}s and Bernoulli{u2019}s inequalities associated with this operator |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Existence and uniqueness of solutions |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Power quantum difference operator |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Theory of power quantum difference equations |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Alaa E. Hamza , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Samir A. Ashour , |
| Relator term | |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Nazla |
| Reviser | Revisor |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Shimaa |
| Reviser | Cataloger |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.M.Sc.2016.Mo.T | 01010110073754000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.M.Sc.2016.Mo.T | 01020110073754000 | 22.09.2023 | CD - Rom | 73754.CD |