Lectures on Theory of Random Equations[MatSciRep:31]

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Lectures on Theory of Random Equations[MatSciRep:31]

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dc.contributor.author Bharucha-Reid, A.T.
dc.date.accessioned 2010-06-15T08:14:23Z
dc.date.available 2010-06-15T08:14:23Z
dc.date.issued 2010-06-15T08:14:23Z
dc.date.submitted 1965
dc.identifier.uri http://hdl.handle.net/123456789/199
dc.description.abstract The purpose of this report is to present a survey of the theory of Random Equations. It is somewhat a revised version of the paper entitled "On the theory of Random equations" by the author, in the American Mathematical Society Proceedings of symposia in Applied Mathematics: Stochastic processes in mathematical physics and engineering. The study of semigroups of Random operators is initiated and formulated a stochastic analogue of the abstract Cauchy problem - in order to study random solutions of partial differential equations using semigroup theory. This theory when developed should enable us to solve partial differential equations when the differential operator (infinitesimal generator of the semigroup) is a random operator. A detailed discussion of Ito Equation is given in the chapter, 'Random Integral Equations'. en_US
dc.subject Random Equations en_US
dc.subject Random Algebraic Equations en_US
dc.subject Random Difference Equations en_US
dc.subject Random Differential Equations en_US
dc.subject Random Integral Equations en_US
dc.subject Stochastic Processes en_US
dc.subject Matscience Report 31 en_US
dc.title Lectures on Theory of Random Equations[MatSciRep:31] en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.pages 72p. en_US
dc.type.mainsub Mathematics en_US

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