Singular Value Estimates for Certain Convolution-Product Operators.
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Krzysztof Nowak (1994/1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Bijura, Angelina (2002)
International Journal of Mathematics and Mathematical Sciences
Olaf von Grudzinski (1983)
Banach Center Publications
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.
Shulaia, D. (2002)
Georgian Mathematical Journal
Sampath, C., Jain, D.J. (1990)
International Journal of Mathematics and Mathematical Sciences
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.
S. Ugniewski (1977)
Applicationes Mathematicae
James Rovnyak (1982)
Banach Center Publications
Irina Mitrea (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
I.H. Sloan, G.A. Chandler (1990/1991)
Numerische Mathematik
V.L. Bakke, Z. Jackiwiecz (1986)
Numerische Mathematik
P.P.B. Eggermont (1984)
Numerische Mathematik
Hofmann, B., Fleischer, G. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Peleshenko, B.I. (2001)
Sibirskij Matematicheskij Zhurnal
S.P. Norsett, H. Brunner (1980/1981)
Numerische Mathematik
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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