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Wyświetlanie pozycji 11-20 z 52
Linear equations with multiplicative operators in commutative algebras with logarithms
(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 ...
Mazur’s criterion for continuity of convex set-valued maps
(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 ...
Bernstein-Doetsch-type results for general functional inequalities
(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 ...
Boundary properties of solutions of the iterated Helmholtz equation
(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 ...
Approximation by a nonlinear convolution operator in modular function spaces
(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
(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.
