Jumps of the fundamental solution matrix in discontinuous systems and applications |
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Authors: | Peter Kuku?ka |
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Institution: | Karpatská 3, 915 01 Nové Mesto nad Váhom, Slovakia |
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Abstract: | This paper deals with differential equations with discontinuous right-hand side. The concept of a solution for a discontinuous system is defined on the basis of differential inclusions using Filippov’s method. We study in particular the behaviour of solutions crossing a discontinuity surface transversally. A formula characterizing jumps of the fundamental solution matrix is derived. As an application of it, the concept of Poincaré mapping is defined for such systems. |
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Keywords: | 34C25 34A36 34A34 |
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