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Browsing Journal Articles by Author "Andanje, Mulambula"

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    Controllability of a quasi-linear heat equation
    (Asian Academic Research Associates : AARJMD, 2015-04-01) Andanje, Mulambula; Matuya, John Wanyonyi
    In this article we have examined the controllability of the quasi-linear heat equation. We considered distributed controls with support in a small sub-domain. We assumed that the quasi-linear terms are locally Lipschitz. We have proved that there exists a control that drives to desired state within a finite time. Our main objective was to determine the existence, uniquiness and regularity of solutions of controllability of a quasi-linear heat equation
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    Suborbital Graphs and their Properties for ordered Triples in An (n = 5, 6, 7) Through Rank and Subdegree Determination
    (International Journal of Engineering and Mathematical Sciences, 2016-06-01) Ndarinyo, Cedric W.; Marani, vincent Nyongesa; Chikamai, Lucy W.; Andanje, Mulambula
    In this paper, through computation of the rank and subdegrees of alternating group An (n-5,6,7) on ordered triples we construct the suborbital graphs corresponding to the suborbits of these triples. When An(n ≥ 5) acts on ordered pairs the suborbital graphs corresponding to the non-trivial suborbits are found to be disconnected. Further, we investigate properties of the suborbital graphs constructed.