Quick Menu

Upcoming Journals
  • No Upcoming Journals

Asian Journal of Economics, Business and Accounting

Asian Journal of Economics, Business and Accounting, ISSN: 2456-639X,Vol.: 2, Issue.: 2




On the Gradient-Hamiltonian Systems to the Derivation of Economic Multivariate Total Functions



John Awuah Addor1*, Kwadwo Ankomah2 and Emmanuel Benson1

1Department of Mathematics, Statistics and Actuarial Science, Takoradi Technical University, P.O.Box 256, Takoradi, Ghana.

2Department of IT Business, Ghana Technology University College, Takoradi Campus, Takoradi, Ghana.




This paper highlights an application of Gradient or Hamiltonian (Grad-Ham) Systems in deriving multivariate total functions. The objective is to establish a relationship between Gradient or Hamiltonian systems and economic-oriented multivariate marginal functions, and demonstrate how they can significantly be applied to the derivation of economic multivariate total functions. The multivariate marginal functions are represented by the Grad-Ham systems of differential equations whose analytical solutions are based on the partial antiderivative technique. The paper establishes that all economic multivariate marginal functions can respectively be expressed as exact differential equations. It also uncovered that functions that can be optimized are conservative along their optimal paths and that these functions become the first integrals of their respective marginal systems. Finally, it introduces two model examples- one hypothetical and the other based on the Cobb-Douglas Production function- and presents their derivations thereof.


Keywords :

Analytical solution; economics; exact differential equations; gradient systems; hamiltonian systems; marginal systems; multivariate and univariate functions; total functions.


Full Article - PDF    Page 1-9    Article Metrics


DOI : 10.9734/AJEBA/2017/31999

Review History    Comments

Search this site

Advanced Search

Announcement & News

SCOPUS selected Annual Research & Review in Biology (ARRB)

We are delighted to inform that famous indexing organization SCOPUS (from Elsevier) selected  A...

Index Copernicus Evaluation Result Released

We are delighted to inform that Index Copernicus (a leading indexing organization from Pol...

Journal Repository (JR): Permanent Digital Archiving of SDI journals

SDI is happy to announce that all our journals are now permanently archived in Journal Repository (J...

Index Copernicus Value of British Journal of Medicine and Medical Research

  We are delighted to inform that Index Copernicus (a leading indexing organization ...

SDI journal got 35th ranking in Publons

We are delighted to announce (as of 04/01/2016) that British Journal of Medicine and Medical Re...

Growth of SDI and world publication market

As of 2014, total 25,064 journals are competing in World market of journal publication. In 2011, tot...

Publication and site statistics (up to Sept, 2015)

  Number of submission: 22181 (Total up to Sept, 2015) Number of published paper: 10949&n...

Index Medicus selected 15 SDI journals

We are delighted to inform that Index Medicus (IMSEAR) has selected following 15 SDI journals for in...

SCIENCEDOMAIN international received 5844 submissions in 2013

SCIENCEDOMAIN international is pleased to announce that it has received 5844 submissions in 2013, ac...

Science (IF: 31) report confirmed the high standard of SDI journal

As per a recent report (Link) of Science journal (present Impact factor 31), one of our journal (Bri...


  • No Awards listed.

Browser Compatibility : Mozila firefox, Google Crome and IE 7 & above. Creative Commons License Terms & Condition   |   Privacy Policy   |   Join Us   |   Help   |   Contact Us
© Copyright 2010-2017, SCIENCEDOMAIN international. All rights reserved.