Mathematical economics in the explanation of economic growth in economies with endogenous and exogenous technological change

Economic growth is a function of the interactions between different productive factors framed in economic policy an economy, particular, it can be expressed terms labour force, resources (land, capital) and technology, among others. The present work pretends to approximate model explain developing economies, for which proposed that explains this referred factors; then production capital two models are adjusted, one with exogenous technological change other involves endogenous manner. developed constant substitution elasticity so applicable both since expected economies unitary, would lead Cobb-Douglas-type function, but very probable incipient better reflects relationship growth. research allows development corresponding mathematical each case, foundations presented validated according theories. behaviour variables such as savings, investment, income, consumption, their relationships analysed.