Existence and Uniqueness of the Solution for some Double Delay Integral Equations

We present estimates of the region of attraction of a class of non-linear integral delay equations. The approach follows the same lines as the Lyapunov method by the first approximation for estimating the attraction region of ordinary and delay differential equations, which uses Lyapunov functions or Lyapunov functionals associated with the linear part of the non-linear equations. The results are illustrated by application problems to the propagation of electric pulses in the heart dynamics and non-linear predictor control.

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Existence and Uniqueness of the Solution for some Double Delay Integral Equations

Cited by 3 publications

References 18 publications

Renormalization Group Method for Singular Perturbation Initial Value Problems with Delays

Renormalization Group Method for Singular Perturbation Initial Value Problems with Delays

Exponential Stability and Asymptotic Periodic Solutions of Linear Integral Equations with Two Delays

Estimating the region of attraction of integral delay equations

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