A note on a general difference-functional equation.
Gian Luigi Forti (1985)
Stochastica
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Displaying similar documents to “On a generalization of sum form functional equation (I).”
A note on a general difference-functional equation.
Integral equations and time varying linear systems.
Lucas Jódar (1986)
Stochastica
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In this paper we study the resolution problem of an integral equation with operator valued kernel. We prove the equivalence between this equation and certain time varying linear operator system. Sufficient conditions for solving the problem and explicit expressions of the solutions are given.
A theorem on implication functions defined from triangular norms.
Didier Dubois, Henri Prade (1984)
Stochastica
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Several transformation which enable implication functions in multivalued logics to be generated from conjunctions have been proposed in the literature. It is proved that for a rather general class of conjunctions modeled by triangular norms, the generation process is closed, thus shedding some light on the relationships between seemingly independent classes of implication functions.
On the extension of Rosenbrock's theory in algebraic design on multivariable controllers.
Manuel de la Sen (1986)
Stochastica
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System similarity and system strict equivalence concepts from Rosenbrock's theory on linear systems are used to establish algebraic conditions of model matching as well as an algebraic method for design of centralized compensators. The ideas seem to be extensible without difficulty to a class of decentralized control.
Some remarks on a problem of C. Alsina.
J. Matkowski, M. Sablik (1986)
Stochastica
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Equation [1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y)) has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]: [2] f(x+1) + f (f(x)+1) = 1, [3] f(2x) + f(2f(x)) = f(2f(x + f(x))). Equation [3] leads to a Cauchy functional equation: ...
On a functional equation connected to sum form nonadditive information measures on an open domain (III).
Palaniappan Kannappan, Prasanna K. Sahoo (1985)
Stochastica
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This is a part of a recent program by a number of authors to study information measures on open domain. In this series, this paper is devoted to the study of the functional equation (2) on an open domain. This functional equation is connected to the weighted entropy and weighted entropy of degree a.
Representation of continuous associative functions.
Barbara Baccheli (1986)
Stochastica
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Strengthened forms of Ling's representation theorem concerning a class of continuous associative functions are given: Firstly the monotonicity condition is removed. Then the associativity condition is replaced by the power associativity.
Imprecise notions in individual and group decision theory: Resolutions of Allais paradox and related problems.
Hannu Nurmi (1982)
Stochastica
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This paper deals with two ways in which uncertainty notions enter social science models: 1) They can be used in an effort to make intelligible some phenomena that would otherwise be difficult to comprehend, or 2) They can be use to generalize or modify the domain of validity of some theoretical results.
Some problems of measure theory which are related to economic theory.
Heinz J. Skala (1982)
Stochastica
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After a short discussion of the first application of measure theoretic tools to economics we show that it is consistent relative to the usual axioms of set theory that there exists no nonatomic probability space of power less than the continuum. This together with other results shows that Aumann's continuum-of-agents methodology provides a sound framework at least for the cooperative theory. There are, however, other problems in economics where, without further assumptions,...