Semi-groups of operators on time scales and dynamic equations / (Record no. 67883)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02515cam a2200349 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223032057.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181010s2018 ua dh 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 | Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.Ph.D.2018.Ka.S |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Karima Mohamed Oraby Mohamed |
| 245 10 - TITLE STATEMENT | |
| Title | Semi-groups of operators on time scales and dynamic equations / |
| Statement of responsibility, etc. | Karima Mohamed Oraby Mohamed ; Supervised A. E. Hamza , Mohamed S. Metwally, M. H. Aburisha |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | أنصاف زمر المؤثرات علي مقاييس الزمن و المعادلات الديناميكية |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Karima Mohamed Oraby Mohamed , |
| Date of publication, distribution, etc. | 2018 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 124 P. : |
| Other physical details | charts , facsimiles ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | In this thesis, we continue the development of the theory of C0-semigroups of bounded linear operators from a Banach space X into itself on a semigroup time scale T. Also, we study the stabilizability of control dynamic equations of the form x{u2206}(t) = Ax(t) + Bu(t), t {u2208} T, x(x) = xx {u2208} D(A), and control Volterra integro-dynamic equations of the form x{u2206}(t) = Ax(t) + Z t 0 G(t, s)x(s){u2206}s + Bu(t), t {u2208} T, x(x) = xx {u2208} D(A), where G(t,s) is continuous in the variable t and rd-continuous in the variable s, A is the generator of a C0-semigroup and B {u2208} L(U, D(A)), the space of all bounded linear operators from a Banach space U ( the control space ) to the domain D(A) of A, by the feedback control u : T {u2192} U. Finally, we investigate many types of stability of abstract dynamic equations of the form x{u2206}(t) = F(t, x), x(x) = xx {u2208} X, t {u2208} Tx+ := [x, {u221E})T, where F : T{u00D7}X {u2192} X is rd-continuous in the {uFB01}rst argument with F(t,0) = 0, by using the Lyapunov{u2019}s second method. We construct a Lyapunov function to obtain new su{uFB03}cient conditions for stability of some of abstract dynamic equations on time scales. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Dynamic equations |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Lyapunov stability theory |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Time scales |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Alaa Eldeen Hamza , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mohamed S. Metwally , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Momen H. Aburisha , |
| 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.Ph.D.2018.Ka.S | 01010110076080000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.Ph.D.2018.Ka.S | 01020110076080000 | 22.09.2023 | CD - Rom | 76080.CD |