Measure Neutral Functional Differential Equations as Generalized ODEs
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Springer
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In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik (Differ Integral Equ 19(11):1201-1234, 2006) (we write generalized ODEs), using similar ideas to those of Federson et al. (J Differ Equ 252(6):3816-3847, 2012). By means of the correspondence with generalized ODEs, we state results on the existence, uniqueness and continuous dependences of solutions for our equation of neutral type.
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Generalized ordinary differential equations, Neutral measure functional differential equations, Kurzweil-Henstock-Stieltjes integral
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Inglês
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Journal Of Dynamics And Differential Equations. New York: Springer, v. 31, n. 1, p. 207-236, 2019.
