ON THE COMPUTATIONAL SOLUTION OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS
RAND CORP SANTA MONICA CA
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Functional differential equations of the form 1 ut gt,ut, uht, and, more generally, of the form 2 ut gt,ut, uhu,t, arise in the construction of realistic models in a number of fields, ranging from electromagnetic theory and control theory to respiratory theory and neurophysiology. The analytic aspects are quite complex, and numerical solution is anything but routine, even with the aid of a digital computer. In this paper, a method for the computational treatment of differential-difference equations was extended to cover equations of the form given in 1. Equations of the type appearing in 2 can then be treated by means of successive approximations.
- Theoretical Mathematics