Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...

SIAM Journal on Applied Mathematics, Vol. 17, No. 3 (May, 1969), pp. 511-515 (5 pages) In this paper, a method of synthesizing the governing differential equations of nonlinear second order systems, ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

This course is an introduction to the foundations of nonlinear control theory, with an emphasis on feedback stabilization. As needed, topics from differential geometry and other mathematical ...