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Conditions for the Existence of Local Solutions of Set-Valued Differential Equations with Generalized Derivative

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Ukrainian Mathematical Journal Aims and scope

We consider a generalized set-valued differential equation with generalized derivative and prove the theorems on existence and uniqueness of its solution for the cases of interval-valued and set-valued mappings.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 10, pp. 1350–1362, October, 2013.

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Plotnikov, A.V., Skripnik, N.V. Conditions for the Existence of Local Solutions of Set-Valued Differential Equations with Generalized Derivative. Ukr Math J 65, 1498–1513 (2014). https://doi.org/10.1007/s11253-014-0875-1

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  • DOI: https://doi.org/10.1007/s11253-014-0875-1

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