Existence, uniqueness and successive approximations for a class of integral-functional equations.
Existence, uniqueness, approxiniate solutions construction and errors valuation theorems concerning mixed structure mathematical systems which generalizate the normal functioning of a single nerve equations.
Explicit estimates for some mixed integral inequalities.
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Extension de fonctions de type positif et entropie associée. Cas multidimensionnel
Extensions of Integral Operators.
Extrapolation Method for Fredholm Integral Equations with Non-Smooth Kernels.
Extremal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales.
Extremal solutions to a class of multivalued integral equations in Banach space.
Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.