Scientific Research Publishing

Variation of Parameters for Causal Operator Differential Equations ()

Mathematics Department, Texas A & M University Kingsville, Kingsville, USA. 1. Definitions and Example of Nonanticipative Operators An important feature of ordinary differential equations is that the ...
JSTOR Daily

ESTIMATION OF ORDINARY DIFFERENTIAL EQUATION PARAMETERS USING CONSTRAINED LOCAL POLYNOMIAL REGRESSION

We propose to use a constrained local polynomial regression to estimate the unknown parameters in ordinary differential equation models with a goal of improving the smoothing-based two-stage ...
Scientific Research Publishing

A New Method for the Exact Solution of Duffing Equation ()

1 College of Economics, Shanghai University, Shanghai, China. 2 School of Economics & Management, Tongji University, Shanghai, China. The Duffing equation is a non-linear second-order differential ...
JSTOR Daily

Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations

Ordinary differential equations (ODEs) are widely used in biomedical research and other scientific areas to model complex dynamic systems. It is an important statistical problem to estimate parameters ...