Singular Value Estimates for Certain Convolution-Product Operators.
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Singularly perturbed Volterra integral equations with weakly singular kernels.
Bijura, Angelina (2002)
International Journal of Mathematics and Mathematical Sciences
Slowly decreasing entire functions and convolution equations
Olaf von Grudzinski (1983)
Banach Center Publications
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Diethelm, Kai (2007)
Fractional Calculus and Applied Analysis
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.
Shulaia, D. (2002)
Georgian Mathematical Journal
Solution of an integral equation with a logarithmic kernel.
Sampath, C., Jain, D.J. (1990)
International Journal of Mathematics and Mathematical Sciences
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Alaa A. El-Bary (2004)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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
S. Ugniewski (1977)
Applicationes Mathematicae
Some questions in operator theory and applications in analysis
James Rovnyak (1982)
Banach Center Publications
Spectral Radius Properties for Layer Potentials Associated with the Elsastostatics and Hydrostatics Equations in Nonsmooth Domains.
Irina Mitrea (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Spline qualocation methods for boundary integral equtions.
I.H. Sloan, G.A. Chandler (1990/1991)
Numerische Mathematik
Stability Analysis of Product ...-Methods for Abel Integral Equations of the Second Kind.
V.L. Bakke, Z. Jackiwiecz (1986)
Numerische Mathematik
Stability and Robustness of Collocation Methods for Abel-Type Integral Equations.
P.P.B. Eggermont (1984)
Numerische Mathematik
Stability rates for linear ill-posed problems with compact and non-compact operators.
Hofmann, B., Fleischer, G. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces.
Peleshenko, B.I. (2001)
Sibirskij Matematicheskij Zhurnal
Superconvergence of Collocation Methods for Volterra and Abel Integral Equations of the Second Kind.
S.P. Norsett, H. Brunner (1980/1981)
Numerische Mathematik
Systems of convolution equations and LAU-spaces
Daniele C. Struppa (1981)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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.
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