Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations
نویسندگان
چکیده
منابع مشابه
New Optimal Conditions for Unique Solvability of the Cauchy Problem for First Order Linear Functional Differential Equations
The nonimprovable sufficient conditions for the unique solvability of the problem u ′(t) = `(u)(t) + q(t), u(a) = c, where ` : C(I; ) → L(I; ) is a linear bounded operator, q ∈ L(I; ), c ∈ , are established which are different from the previous results. More precisely, they are interesting especially in the case where the operator ` is not of Volterra’s type with respect to the point a.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2002
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1021767411094