Abstract
From the point of view of singularities of differential mappings, we determine the dependence between the dimension of a family of singular equations and the types of singularities of their solutions.
Similar content being viewed by others
REFERENCES
V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings. Classification of Critical Points, Caustics, and Wave Fronts [in Russian], Nauka, Moscow (1982).
G. M. Fikhtengol'ts, A Course of Differential and Integral Calculus [in Russian] Vol. 1, Nauka, Moscow (1962).
N. I. Muskhelishvili, Singular Integral Equations [in Russian], Nauka, Moscow (1968).
V. M. Il'man, Family Approach to the Analysis of Contact Stresses [in Russian], Dep. in GNTB of Ukraine, No. 50-Uk98, Dnepropetrovsk (1997).
V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings. Monodromies and Asymptotics of Integrals [in Russian], Nauka, Moscow (1984).
Ya. S. Uflyand, Integral Transformations in Problems of Elasticity Theory [in Russian], Nauka, Leningrad (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kapustyan, V.E., Il'man, V.M. Singularities of Solutions of Singular Integral Equations. Ukrainian Mathematical Journal 54, 1732–1741 (2002). https://doi.org/10.1023/A:1023744606361
Issue Date:
DOI: https://doi.org/10.1023/A:1023744606361