Article citationsMore>>

P. Linz, “A Survey of Methods for the Solution of Volterra Integral Equations of the First Kind in the Applications and Numerical Solution of Integral Equations,” Nonlinear Analysis—TMA, 1980, pp. 189-194.

has been cited by the following article:

• TITLE: Trajectory Controllability of Nonlinear Integro-Differential System—An Analytical and a Numerical Estimations

  AUTHORS: Dimplekumar Chalishajar, Heena Chalishajar, John David

  KEYWORDS: Trajectory Controllability; Monotone Operator Theory; Set Valued Function; Lipschitz Continuity; Finite Difference; Optimization

  JOURNAL NAME: Applied Mathematics, Vol.3 No.11, November 21, 2012

  ABSTRACT: A stronger concept of complete (exact) controllability which we call Trajectory Controllability is introduced in this paper. We study the Trajectory Controllability of an abstract nonlinear integro-differential system in the finite and infinite dimensional space setting. We will then discuss how approximations to these problems can be found computationally using finite difference methods and optimization. Examples will be presented in one, two and three dimensions.