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Solving Heterogeneous Differential Equations Using Green Function

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dc.contributor.author Mohammed, Amna Elsiddig Eljack
dc.date.accessioned 2018-08-14T08:21:21Z
dc.date.available 2018-08-14T08:21:21Z
dc.date.issued 2016-05-07
dc.identifier.uri http://repo.uofg.edu.sd/handle/123456789/1295
dc.description A Dissertation Submitted to the University of Gezira in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Science in Mathematics , Department of Mathematics , Faculty of Mathematical and Computer Sciences, May, 2016 en_US
dc.description.abstract This study dealt with a group of theories that can be applied in solving functional differential equations. These theories were developed during a quarter of a century by a large group of mathematicians called Perm Seminar. The results of the seminar were published in scientific journals ((boundary value problems)) and ((Functional Differential Equations)) issued in 1976 -1992 by Perm Polytechnic Institute. We tackled in this chapter an introduction to functional differential equations and the concept of Banach Space. That is because all theories about functional differential equations were based on Banach Space and also Green operator as an integral operator. We also mentioned Green’s Matrix and its relationship with Green operator in solving differential equations systems and the concepts of Eigenvalues and Eigenvectors using the characteristic values in solving the differential equation systems. We also tackled in the third chapter differential equations in scalar function space with continuous derivation of order (n-1) and the concept of Green equations in solving differential equation of the second order and solving initial value problems for heterogeneous differential equations using Green functions. en_US
dc.description.sponsorship Abdallah Habila Ali (Main Superviser) .Bakhit Osman Bakhit (Co-supervisor) en_US
dc.language.iso en en_US
dc.publisher University of Gezira en_US
dc.subject Mathematics en_US
dc.subject Differential equations en_US
dc.title Solving Heterogeneous Differential Equations Using Green Function en_US
dc.type Thesis en_US

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