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Ecuaciones diferenciales y en diferencias aplicadas a los conceptos económicos y financieros || Differential and Difference Equations Applied to Economic and Financial Concepts

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  • Tenorio Villal¢n, Angel F.

    (Departamento de Economía, M‚todos Cuantitativos e Historia Econ¢mica. Universidad Pablo de Olavide, de Sevilla (España))

  • Martín Caraballo, Ana M.

    (Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide, de Sevilla (España))

  • Paralera Morales, Concepción

    (Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide, de Sevilla (España))

  • Contreras Rubio, Ignacio

    (Departamento de Economía, Métodos Cuantitativos e Historia Económica. Universidad Pablo de Olavide, de Sevilla (España))

Abstract

Este trabajo versa sobre la utilidad de las ecuaciones diferenciales y las ecuaciones en diferencias finitas para la resolución de distintos problemas en el ámbito de la economía y la empresa. En Economía es frecuente estudiar la evolución de los valores de una misma variable en distintos instantes temporales. Si la variable “tiempo" se considera como algo continuo, la evolución se estudia mediante ecuaciones diferenciales. Sin embargo, si el “tiempo" es tratado de manera discreta, se utilizan entonces ecuaciones en diferencias finitas. Concretamente, nuestro objetivo no solo es exponer la evolución que han sufrido las nociones de ecuaciones diferenciales y ecuaciones en diferencias finitas sino también dar una visión (no exhaustiva) de sus múltiples aplicaciones a cuestiones relativas a fenómenos económicos y financieros. || This paper deals with the use of differential equations and finite difference methods for solving several problems in the field of Economics and Business Administration. Economics usually needs to study the evolution of the values which are taken by a given variable in different moments. If the time variable works in a continuous way, its evolution is studied by differential equations. Otherwise, time is a discrete variable and finite difference methods must be used. In addition, to expound the evolution of the notions of differential and difference equations, the goal of this paper is to show a general view (but not comprehensive) of their many applications for explaining economical and financial phenomena.

Suggested Citation

  • Tenorio Villal¢n, Angel F. & Martín Caraballo, Ana M. & Paralera Morales, Concepción & Contreras Rubio, Ignacio, 2013. "Ecuaciones diferenciales y en diferencias aplicadas a los conceptos económicos y financieros || Differential and Difference Equations Applied to Economic and Financial Concepts," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 16(1), pages 165-199, December.
    • Handle: RePEc:pab:rmcpee:v:16:y:2013:i:1:p:165-199
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    More about this item

    Keywords

    ecuaciones diferenciales; ecuaciones en diferencias finitas; Matemática Empresarial y Financiera; differential equations; finite-difference equations; Mathematical Economics and Finance;
    All these keywords.

    JEL classification:

    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • A22 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Undergraduate
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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