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Titlebook: Dynamic Impulse Systems; Theory and Applicati S. T. Zavalishchin,A. N. Sesekin Book 1997 Springer Science+Business Media Dordrecht 1997 con

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Discontinuous Solutions to Ordinary Nonlinear Differential Equations in the Space of Functions of B considered. A Cauchy formula for the discontinuous solutions to bilinear systems is obtained. Discontinuous solutions to neutral type nonlinear differential equations are discussed. In particular, we obtain a generalization of Gronwall—Bellman’s lemma for the space of functions of bounded variation.
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Water Politics and Development Cooperationof bilinear systems, the number of control impulses needed for the system to pass to a given point of the attainability set is estimated. Similar problems for dynamic systems with absolutely continuous trajectories has been studied in [25, 14, 108].
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Water Politics and Development Cooperationhas been developed by J. I. Massera and J. J. Schäffer [63] and is based on Banach’s about inverse—transform theorem. This theorem is applied to maps establishing a correspondence between solutions with vanishing Cauchy data and additive perturbations. Another approach has been introduced by R.Bellm
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Water Politics and Development Cooperation distributions to be distributional derivatives of functions of bounded variation. We concern a definition of solutions to ordinary differential equations in the space of functions of bounded variation. We define discontinuous solutions by means of closing the absolutely continuous solutions set. It
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