Continuous Interpolation of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions
Author(s) -
E. O. Ayoola,
John O. Adeyeye
Publication year - 2007
Publication title -
journal of applied mathematics and stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-2177
pISSN - 1048-9533
DOI - 10.1155/2007/80750
Subject(s) - mathematics , differential inclusion , bounded function , interpolation (computer graphics) , set (abstract data type) , regular polygon , space (punctuation) , hilbert space , pure mathematics , matrix (chemical analysis) , mathematical analysis , inclusion (mineral) , quantum , image (mathematics) , geometry , linguistics , philosophy , materials science , physics , composite material , quantum mechanics , artificial intelligence , computer science , programming language , gender studies , sociology
Given any finite set of trajectories of a Lipschitzian quantum stochastic differential inclusion (QSDI), there exists a continuous selection from the complex-valued multifunction associated with the solution set of the inclusion, interpolating the matrix elements of the given trajectories. Furthermore, the difference of any two of such solutions is bounded in the seminorm of the locally convex space of solutions
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