Fourier approximation for integral equations on the real line.
Global existence results for first-order integrodifferential identification problems
Hopf bifurcation of integro-differential equations.
Hyers-Ulam stability of nonlinear integral equation.
Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations.
I difficili rapporti fra l'Analisi funzionale e la Fisica Matematica
— Si mostra come la scelta di una topologia nello spazio delle funzioni ammissibili, in taluni problemi, influenzi i relativi risultati. Vengono mostrati tre esempi. Due tratti dall'Analisi matematica pura: uno riguardante la stabilità della soluzione di un'equazione integrale di Volterra e l'altro il problema di Cauchy per l'equazione di Laplace come «problema ben posto». Il terzo esempio è relativo alla Fisica matematica, precisamente al «Principio della Memoria evanescente» in Viscoelasticità....
Impulsive integral equations in Banach spaces and applications.
Inequalities of solutions of Volterra integral and differential equations.
Integrable and continuous solutions of a nonlinear quadratic integral equation.
Integral equations of convolution type with power nonlinearity
Integrodifferential inequality for stability of singularly perturbed impulsive delay integrodifferential equations.
Lp decay estimates for weighted oscillatory integral operators on R.
In this paper, we formulate necessary conditions for decay rates of Lp operator norms of weighted oscillatory integral operators R and give sharp L2 estimates and nearly sharp Lp estimates.
Lyapunov functionals and periodicity in a system of nonlinear integral equations.
Lyapunov stability solutions of fractional integrodifferential equations.
Méthode unitaire d'étude des différentes classes de problémes "bien posés" concernant certains systémes intégro-différentiels non linéaires aux opérateurs polyvibrants et aux autocontroles dans les limites d'integration.
Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems.
New spectral criteria for almost periodic solutions of evolution equations
We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form ẋ = A(t)x + f(t) (*), with f having precompact range, which is then applied to find new spectral criteria for the existence of almost periodic solutions with specific spectral properties in the resonant case where may intersect the spectrum of the monodromy operator P of (*) (here sp(f) denotes the Carleman spectrum of f). We show that if (*) has a bounded...
Nonlinear Volterra Equations With Infinite Delay.
Nonmonotone nonconvolution functions of positive type and applications
We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.
Nonnegative solutions of nonlinear integral equations
Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are studied.