Abstract
To every differential equation x′ = f(t, x), where f is a continuous mapping, defined on an open connected subset G of ℝn+1, assuming values in ℝn, and to every initial condition x(t 0) = x 0, where (t 0, x 0) ∈ G, one can associate an integral operator A by the formula:
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© 1998 Springer Science+Business Media Dordrecht
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Repovš, D., Semenov, P.V. (1998). Differential Inclusions. In: Continuous Selections of Multivalued Mappings. Mathematics and Its Applications, vol 455. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1162-3_21
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DOI: https://doi.org/10.1007/978-94-017-1162-3_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5111-0
Online ISBN: 978-94-017-1162-3
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