• On conjugacy of multivalent functions on the circle 

  Zdun, Marek Cezary (2000)

  We prove that every two expanding selfmappings of the circle which take each value in exactly n points are conjugate. The problem of the uniqueness of continuous conjugating functions is considered. Moreover, some ...

• Global version of a Sternberg linearization theorem 

  Zajtz, Andrzej (2000)

  Let X{x) = DX(0)x + Z(x) be a smooth vector field in R[n], with X (0) = 0, such that 0 is a contracting singular point of the linear part. We aim to extend the local Sternberg theorem on the linearization of X near the ...

• On a Gauss-Weierstrass generalized integral 

  Wachnicki, Eugeniusz (2000)

• Entire solutions of a functional equation 

  Smajdor, Andrzej; Smajdor, Wilhelmina (2000)

  The aim of the present note is to show that all entire solutions f : C → C, of order less than 4, of the equation |f(s + it)f(s - it)| = |f(s)[2] - f(it)[2]|, s,t ϵ R are given by f(z) — az and f(z) = a sin bz, where a, ...

• A remark on a conditional cocycle equation 

  Rätz, Jürg (2000)

  A symmetric conditional cocycle need not be a coboundary.

• Linear equations with multiplicative operators in commutative algebras with logarithms 

  Przeworska-Rolewicz, Danuta (2000)

  Fundamental solutions in Leibniz algebras with logarithms have been constructed in [2]. In several applications operators under consideration inducing logarithmic mappings are either multiplicative or can be reduced by ...

• Boundary properties of solutions of the iterated Helmholtz equation 

  Prętki, Czesław (2000)

  Some theorems about boundary properties of solutions of the equation (Δ - c[2])[2]u(x, y) = 0 in Holder spaces are given. This is a continuation of E. Wachnicki’s study of the above equation, cf. [6]. Similar theorems ...

• Bernstein-Doetsch-type results for general functional inequalities 

  Páles, Zsolt (2000)

  In this paper certain functional inequalities are investigated whose solutions are shown to be convex provided that they are locally bounded from above. The results so obtained generalize the classical result of Bernstein ...

• Mazur’s criterion for continuity of convex set-valued maps 

  Nikodem, Kazimierz (2000)

  The following result is proved: If a set-valued map F : D → cc (Y) is K-midconvex and for every function x : [0,1] → D there exists a Lebesgue measurable set-valued map G : [0,1] → c (Y) such that G(t) ⊂ F(x(t)) + K, t ...

• Approximation by a nonlinear convolution operator in modular function spaces 

  Musielak, Julian (2000)

  There is investigated a nonlinear convolution operator Tf = K*f + Pf in modular function spaces L[0][p](G), with application to approximation of functions f in L[0][p](G).

• The generalized associativity equation revisited 

  Maksa, Gyula (2000)

  In this note we solve the generalized associativity equation in the real case supposing that the unknown functions are continuous and strictly monotonie in each variable. We do not suppose surjectivity of any kind.

• Elementary inequalities for a quotient of Gamma function 

  Love, Eric Russell (2000)

• An explicit formula for solutions of some linear difference equation 

  Kwapisz, Marian (2000)

• Functional equations and characterizations of classes of particular function series 

  Kairies, Hans-Heinrich (2000)

• Dido’s functional equation revisited 

  Kahlig, Peter; Matkowski, Janusz; Sharkovsky, Aleksander N. (2000)

• Remarks on quasi-arithmetic means 

  Jarczyk, Witold; Matkowski, Janusz (2000)

• A functional equation involving three means 

  Járai, Antal; Tat Ng, Che; Zhang, Weinian (2000)

• Ring homomorphisms equation revisited 

  Ger, Roman (2000)

  The functional equation f(x + y) + f(xy) = f{x) + f(y) + f(x)f(y) (*) has been studied by J. Dhombres (Relations de dépendance entre les équations fonctionnelles de Cauchy, Aequationes Math. 35 (1988), 186- 212) for ...

• Matkowski-Sutô type problem for conjugate arithmetic means 

  Daróczy, Zoltán (2000)

  Let I ⊂ R be an open interval and let CM(I) denote the set of all continuous and strictly monotonie real functions on I. For ϕ ϵ CM(I) we define A[*][ϕ](x,y) := ϕ[-1](ϕ(x) + ϕ(y) - ϕ(x+y/2) for all x,y ϵ I, which is ...

• The rotation number of the composition of homeomorphisms 

  Ciepliński, Krzysztof (2000)

  In this paper it is shown that if F and G are commuting orientation-preserving homeomorphisms of the unit circle, then α(F ◦ G) = α(F) + α(G) (mod 1), where α(F) denotes the rotation number of F.

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