Methods are presented for performing a rigorous sensitivity analysis of numerical problems with independent, noncorrelated data for general systems of linear and nonlinear equations. The methods may ...

In everyday life, many systems obey simple, linear rules: if you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, ...

Abstract. In the present paper, utilizing the techniques of suitable measures of noncompactness in Banach algebra, we prove an existence theorem for nonlinear functional-integral equation which ...