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A Semigroups Approach to the Study of a Second Order Partial Differential Equation Applied in Economics

Chilarescu, Constantin and Viasu, Ioana Luciana (2011): A Semigroups Approach to the Study of a Second Order Partial Differential Equation Applied in Economics.

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Abstract

In this paper we will study the well known problem of production functions in an operator semigroup approach. In general, semigroups can be used to solve a large class of problems commonly known as evolution equations. They are usually described by an initial value problem for a differential equation, also known as a Cauchy problem. After summarizing some of the major properties of semigroups theory, we will provide an application to the theory of production functions. Finally we present some concluding remarks.

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  • A Semigroups Approach to the Study of a Second Order Partial Differential Equation Applied in Economics. (deposited 06. Oct 2011 12:46) [Currently Displayed]
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