Continuity, compactness, fixed points, and integral equations.
Continuous dependence for semilinear parabolic functional equations without uniqueness
Controllability of Infinite Rime Horizon of Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
Convergence Analysis of Discretization Methods for Nonlinear First Kind Volterra Integral Equations.
Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments...
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions
We provide a semilocal convergence analysis for Newton-type methods using our idea of recurrent functions in a Banach space setting. We use Zabrejko-Zinčenko conditions. In particular, we show that the convergence domains given before can be extended under the same computational cost. Numerical examples are also provided to show that we can solve equations in cases not covered before.
Convex solutions of a nonlinear integral equation of Urysohn type.
Corrections to the article `Weighted Monte Carlo methods for approximate solution of a nonlinear Boltzmann equation'.