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Displaying similar documents to “Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter”

On solving systems of differential algebraic equations

Marian Kwapisz (1992)

Applications of Mathematics

Similarity:

In the paper the comparison method is used to prove the convergence of the Picard iterations, the Seidel iterations, as well as some modifications of these methods applied to approximate solution of systems of differential algebraic equations. The both linear and nonlinear comparison equations are emloyed.

On a secant-like method for solving generalized equations

Ioannis K. Argyros, Said Hilout (2008)

Mathematica Bohemica

Similarity:

In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.