Some properties of following two groups of equations are developed in this article: 1) x^2+y^2+z^2+v^2=dXYZ, x^i+y^i+z^i +v^i= dXYZ (where i is an integer), x^2+y^2+z^2= gXYZ and x^2+y^2+z^2+v^2+u^2=dXYZ, x^3+y^3+z^3=dXYZ, and x^6+y^6+z^6=dXYZ, x^3+y^3+z^3+x^6+y^6+z^6=dXYZ,...

The paper presents a sparse grid approximation method based on the hyperbolic cross and applies it to solve non-linear macroeconomic models. We show how the standard hyperbolic cross can be extended to give greater control over the approximating grid and we discuss how to implement an...

Most studies in Vietnam use the Cobb-Douglas production function and its modifications for economic analysis. Extremely rigid presumptions are a main weak point of this functional form, particularly if the elasticity of factor substitution (ES) is equal to one, which hides the role of the ES for...

Developments of analytical solutions to nonlinear equations provide very good physical insights into the nonlinear phenomena. The nonlinear transient thermal responses of extended surfaces have been widely studied analytically with the aid of different methods based on power series solutions....

This paper investigates nonlinearities in the exchange rate pass-through (ERPT) to consumer and import prices by estimating a smooth transition regression model with different inflation expectations regimes for five inflation targeting countries (the UK, Canada, Australia, New Zealand and...

This paper considers a class of fixed-T nonlinear panel models with timevarying link function, fixed effects, and endogenous regressors. We establish sufficient conditions for the identification of the regression coefficients, the time-varying link function, the distribution of counterfactual...