On principles of b-smooth discontinuous flows

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2004
Akalın, Ebru Çiğdem
Discontinuous dynamical system defined by impulsive autonomous differential equation is a field that has actually been considered rarely. Also, the properties of such systems have not been discussed thoroughly in the course of mathematical researches so far. This thesis comprises two parts, elaborated with a number of examples. In the first part, some results of the previous studies on the classical dynamical system are exposed. In the second part, the definition of discontinuous dynamical system defined by impulsive autonomous differential equation is formulated, and its properties are investigated, in the view of the known results of the studies on the classical dynamical system and impulsive differential equations.

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Citation Formats
E. Ç. Akalın, “On principles of b-smooth discontinuous flows,” M.S. - Master of Science, Middle East Technical University, 2004.