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Existence and continuous dependence for a class of neutral functional differential equations

100%

Faina L.

Annales Polonici Mathematici

1996

tom 64

nr 3

215-226

A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.

The parametric Weierstrass integral over a BV curve as a length functional

100%

Faina L.

Studia Mathematica

1998

tom 127

nr 1

9-19

The constructive definition of the Weierstrass integral through only one limit process over finite sums is often preferable to the more sophisticated definition of the Serrin integral, especially for approximation purposes. By proving that the Weierstrass integral over a BV curve is a length functional with respect to a suitable metric, we discover a further natural reason for studying the Weierstrass integral. This characterization was conjectured by Menger.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

2 Faina L.

1 1998

1 1996

Wyniki wyszukiwania

Existence and continuous dependence for a class of neutral functional differential equations

The parametric Weierstrass integral over a BV curve as a length functional