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Proceedings of the American Mathematical Society

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Existence of solutions of abstract measure differential equations


Author: R. R. Sharma
Journal: Proc. Amer. Math. Soc. 35 (1972), 129-136
MSC: Primary 34G05
DOI: https://doi.org/10.1090/S0002-9939-1972-0304811-5
MathSciNet review: 0304811
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Abstract: In an earlier paper the author has introduced an abstract measure differential equation as a generalization of ordinary differential equations and measure differential equations, and proved a theorem for the existence and uniqueness of solutions of this equation. In the present paper the problem of the existence of solutions is further investigated.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0304811-5
Keywords: Abstract measure differential equation, real measures, complex measures, Radon-Nikodym derivative, total variation measure, pseudometric
Article copyright: © Copyright 1972 American Mathematical Society