A CRITERION TO UNIFORM STABILITY FOR FUNCTIONAL PERTURBED DIFFERENTIAL EQUATIONS

@inproceedings{Ahmad2016ACT,
  title={A CRITERION TO UNIFORM STABILITY FOR FUNCTIONAL PERTURBED DIFFERENTIAL EQUATIONS},
  author={Afida Ahmad and Khursheed Haider and Noori Javad and Adem Zeinev and Abdus Salam},
  year={2016}
}
Abstract: In this paper we consider a class of non autonomous ODEs with a functional perturbation. For the unperturbed equation a Lyapunov function bounded by two quadratic forms is known. The Lipschitzean rate of the vector field along with some additional requirements to the derivatives of the Lyapunov function guarantee existence of uniform stable solutions. A sufficient condition that guarantees uniform stability of the zero-solution to the equation under consideration is discussed. 

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