In this paper we investigate and develop the theory about Integral and Differential Calculus for Riesz space-valued functions defined in suitable order intervals of Riesz spaces, and we give some applications in solving different types of equations in this context. We investigate several properties of the exponential function and construct its inverse function (logarithm). We solve some typical functional and differential equations in the setting of Riesz spaces, and give some applications in reconstruction of signals.
Several types of equations in Riesz spaces and applications
BOCCUTO, Antonio;CANDELORO, Domenico
2005
Abstract
In this paper we investigate and develop the theory about Integral and Differential Calculus for Riesz space-valued functions defined in suitable order intervals of Riesz spaces, and we give some applications in solving different types of equations in this context. We investigate several properties of the exponential function and construct its inverse function (logarithm). We solve some typical functional and differential equations in the setting of Riesz spaces, and give some applications in reconstruction of signals.File in questo prodotto:
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