Measure solutions for impulsive evolution equations with measurable vector fields |
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Authors: | NU Ahmed |
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Institution: | School of Information Technology and Engineering and Department of Mathematics, University of Ottawa, Canada |
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Abstract: | In this paper we present some results on the question of existence of generalized or measure valued solutions for semilinear impulsive evolution equations on Banach spaces with the nonlinear parts being merely measurable and bounded on bounded sets. This is a far reaching generalization of the previous results of the author and others. It may be interesting to consider extension of the results of this paper to cover impulsive differential inclusions and their potential applications to control theory and uncertain dynamics. |
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Keywords: | Semigroups of operators Semilinear equations Discontinuous vector fields Finitely additive measures Measure solutions |
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