Singular Value Estimates for Certain Convolution-Product Operators.
Singularly perturbed Volterra integral equations with weakly singular kernels.
Slowly decreasing entire functions and convolution equations
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Solution of a linear integral equation of third kind.
Solution of an integral equation with a logarithmic kernel.
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Solving the Abel integral equation by interpolation methods
Some questions in operator theory and applications in analysis
Spectral Radius Properties for Layer Potentials Associated with the Elsastostatics and Hydrostatics Equations in Nonsmooth Domains.
Spline qualocation methods for boundary integral equtions.
Stability Analysis of Product ...-Methods for Abel Integral Equations of the Second Kind.
Stability and Robustness of Collocation Methods for Abel-Type Integral Equations.
Stability rates for linear ill-posed problems with compact and non-compact operators.
Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces.
Superconvergence of Collocation Methods for Volterra and Abel Integral Equations of the Second Kind.
Systems of convolution equations and LAU-spaces
Dato un sistema omogeneo di equazioni di convoluzione in spazi dotati di strutture analiticamente uniformi, si forniscono condizioni per ottenere teoremi di rappresentazione per le sue soluzioni.