ON STABILITY AND PROPOSITIONAL FUNCTIONS IN THE THEORY OF GENERALIZED DYNAMICAL SYSTEMS

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dc.contributor.authorABDULRAZAQ, ABDULRAHEEM
dc.date.accessioned2014-02-07T09:24:04Z
dc.date.available2014-02-07T09:24:04Z
dc.date.issued1991
dc.descriptionA THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE IN MATHEMATICS..en_US
dc.description.abstractIn this thesis we study some stability concepts for generalized pseudo-dynamical systems under different considerations as well as some semistability of motions and limit sets in semi—systems, and dynamical semi—systems. In chapter one, we give the general introduction to the concept of stability in the theory of generalized dynamical systems In chapter two, starting from stability of sets we present a stability concept for generalized pseudo—dynamical systems. The Lyapunov function and its bearing on stability is also discussed. Every Lyapunov function must be sufficient for the stability of the set (trajectory or motion) for which it is constructed. In chapter three, we introduce a propositional function and give a definition of the stability of sets in terms of the propositional function. Based on this we are able to form a link among various types of stability concepts in the theory of pseudo—dynamical systems. We also touch on the proofs of some theorems which hinge on the construction of Lyapunov functions for some types of stability and some of their applications.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/577
dc.language.isoenen_US
dc.subjectSTABILITYen_US
dc.subjectPROPOSITIONALen_US
dc.subjectFUNCTIONSen_US
dc.subjectTHEORYen_US
dc.subjectGENERALIZEDen_US
dc.subjectDYNAMICALen_US
dc.subjectSYSTEMSen_US
dc.titleON STABILITY AND PROPOSITIONAL FUNCTIONS IN THE THEORY OF GENERALIZED DYNAMICAL SYSTEMSen_US
dc.typeThesisen_US
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