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Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices
In this paper, by means of the appropriate Green’s function, an integral representation for the solutions of certain boundary value problems for...
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Beurling regular variation, Bloom dichotomy, and the Gołąb–Schinzel functional equation
The class of ‘self-neglecting’ functions at the heart of Beurling slow variation is expanded by permitting a positive asymptotic limit function λ( t ),...
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Relations de dépendance entre les équations fonctionnelles de Cauchy
In order to study the inter-relations between the four Cauchy functional equations, we solve the functional equation a f(xy) + b f(x) f(y) + c f(x +...
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On a Schröder equation arising in branching processes
It is shown that a 1-1 correspondence exists between the possible Yaglom conditional limits when a subcritical Galton-Watson process is initiated...
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Computations in choice groupoids
Defining a choice as a map** of the subsets of a set X into their respective subsets, a one-to-one (and “naturally”) corresponding binary operation, se...