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Zbl 0891.45004
Meehan, Maria; O'Regan, Donal
Existence theory for nonlinear Volterra integrodifferential and integral equations. (English)
[J] Nonlinear Anal., Theory Methods Appl. 31, No.3-4, 317-341 (1998). ISSN 0362-546X

The authors study parameter identification problems for the nonlinear delay system with state dependent delays $$x'(t)= f\Biggl(t,x(t), \int^0_{-r} d_s\mu(s,t,x_t,\sigma) x(t+ s),\theta\Biggr),$$ where $0\le t\le T$, and $x(t)= \phi(t)$, $-r\le t\le 0$. Under assumptions, too complicated to be stated here, an identification method is outlined. Some numerical examples are given.
[S.O.Londen (Espoo)]

MSC 2000:: *45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: existence; integral equations; Volterra equations; fixed point methods; integrodifferential equation; parameter identification; nonlinear delay system; numerical examples

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