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- Z. Lesniak
- I. J. Bifurcation and Chaos
- 2003

We consider an equivalence relation for a given free mapping f of the plane. Under the assumption that f is embeddable in a flow {ft : t ∈ R} we describe the structure of equivalence classes of the… (More)

- Z. Lesniak
- 2007

We are interested in the first prolongational limit set of the boundary of parallelizable regions of a given flow of the plane which has no fixed points. We prove that for every point from the… (More)

- Z. Lesniak
- 1993

Abstract We prove some results on approximate solutions of the generalized Volterra integral equation ψ ( x ) = ∫ a x N ( x , t , ψ ( α ( x , t ) ) ) d t + G ( x ) for continuous functions mapping a… (More)

- Z. Lesniak
- 2002

We find all continuous iterative roots of nth order of a Sperner homeomorphism of the plane onto itself.

- Z. Lesniak
- 1995

We find all of continuous, homeomorphic and C solutions of the system of the Abel equations f */(.))-**>+for s € R , [ ¥>(s(*)) = + b where a, b are linearly independent vectors and / , g are… (More)

- Z. Lesniak
- 2010

We present a method for finding continuous (and consequently homeomorphic) orientation preserving iterative roots of a Brouwer homeomorphism which is embeddable in a flow. To obtain the roots we use… (More)

This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability. Moreover, the hyperstability and… (More)

- Z. Lesniak
- 2009