Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: big graph

Sortuj według:

Ogranicz wyniki do:

Solutions with big graph of iterative functional equations of the first order

100%

Bartłomiejczyk L.

Colloquium Mathematicum

1999

tom 82

nr 2

223-230

We obtain a result on the existence of a solution with big graph of functional equations of the form g(x,𝜑(x),𝜑(f(x)))=0 and we show that it is applicable to some important equations, both linear and nonlinear, including those of Abel, Böttcher and Schröder. The graph of such a solution 𝜑 has some strange properties: it is dense and connected, has full outer measure and is topologically big.

On Orthogonally Additive Functions With Big Graphs

61%

Baron K.

Annales Mathematicae Silesianae

2017

tom 31

nr 1

57-62

Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.

Ograniczanie wyników

1 Annales Mathematicae Silesianae

1 Colloquium Mathematicum

1 Baron K.

1 Bartłomiejczyk L.

1 2017

1 1999

Wyniki wyszukiwania

Solutions with big graph of iterative functional equations of the first order

On Orthogonally Additive Functions With Big Graphs