Il'man V. M.
Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 12-21
We analyze one class of families of integral equations and describe the dependence of the singularities of solutions of integral equations on the dimensions of the families of kernels of equations. On the basis of these results, we propose procedures for the construction of approximate solutions for a small parameter.
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1429-1436
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.