Una pequeña contribución de la teoría racional del consumidor a la resolución de ecuaciones diferenciales de primer orden no homogéneas con condiciones inicial y final

A Small Contribution of Rational Consumer Theory to Solving Inhomogeneous First-Order Differential Equations with initial and final conditions

Francisco Venegas-Martínez

MPRA Paper from University Library of Munich, Germany

Abstract: RESUMEN Esta investigación con base en la teoría del consumidor racional da respuesta a la siguiente pregunta: ¿Qué condiciones debe satisfacer una ecuación diferencial de primer orden no homogénea con condiciones inicial y final para que tenga una única solución? Para ello, se desarrolla un problema de un consumidor racional que maximiza utilidad total descontada (con su tasa de descuento subjetiva) sobre un bien de consumo no perecedero, en tiempo continuo y en un horizonte de planeación finito, sujeto a que el valor presente descontado (con la tasa de interés real) del consumo planeado sea igual a su riqueza inicial (positiva) y que no deja herencia. ABSTRACT This investigation based on the theory of the rational consumer answers the following question: What condition must a inhomogeneous first-order differential equation with initial and final conditions satisfy to have a unique solution? To do this, a problem of a rational consumer that maximizes his total discounted utility (with his subjective discount rate) on a non-perishable consumer good, in continuous time in a finite planning horizon, subject to the discounted present value (with the real interest rate) of his planned consumption is equal to his initial (positive) wealth and does not leave inheritance.

Keywords: métodos matemáticos; ecuaciones diferenciales parciales; consumidor racional mathematical methods; partial differential equations; rational consumer. (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2021-01-04
New Economics Papers: this item is included in nep-upt
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Journal Article: Una pequeña contribución de la teoría racional del consumidor a la resolución de ecuaciones diferenciales de primer orden no homogéneas con condiciones inicial y final (2021)
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