IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/33908.html
   My bibliography  Save this paper

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

Author

Listed:
  • Chilarescu, Constantin
  • Viasu, Ioana Luciana

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.

Suggested Citation

  • Chilarescu, Constantin & Viasu, Ioana Luciana, 2011. "A Semigroups Approach to the Study of a Second Order Partial Differential Equation Applied in Economics," MPRA Paper 33908, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:33908
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/33908/4/MPRA_paper_33908.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Constantin Chilarescu & Nicolas Vaneecloo, 2007. "A Stochastic Approach to the Cobb-Douglas Production Function," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    2. repec:ebl:ecbull:v:3:y:2007:i:9:p:1-8 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yashin, Pete, 2014. "The Golden Rule of Capital Accumulation and Global Recession. Aggregate Production Function and the Cambridge Capital Controversy," MPRA Paper 58570, University Library of Munich, Germany.
    2. Yashin, Pete, 2016. "Кризис И Рост Неравенства. Оптимальный Путь Экономического Роста [The crisis and increasing inequality. The best equilibrium growth path]," MPRA Paper 73544, University Library of Munich, Germany.

    More about this item

    Keywords

    Production functions; Partial differential equations; Semigroups;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:33908. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.