Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions

Francesco S. de Blasi; Simeon Reich; Alexander J. Zaslavski

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Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions

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摘要

We study Cauchy problems for differential inclusions in Banach spaces and show that most such problems (in the sense of Baire's categories) have solutions. We consider separately the cases where the point images of the right-hand side are compact and convex, and where they are merely bounded, closed and convex.

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《Artificial intelligence and law》 |2013年第2期|217-245|共29页
作者
Francesco S. de Blasi; Simeon Reich; Alexander J. Zaslavski;
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作者单位

Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel;

Dipartimento di Matematica, Universita di Roma Tor Vergata, Via della Ricerca Scientifica 1,00133 Roma, Italy;

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正文语种英语
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Baire category; Complete metric space; Differential inclusion; Tonelli approximate solution; Volterra set-integral problem;

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Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions

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