Error bound analysis and singularly perturbed Abel-Volterra equations.
Existence and uniqueness for non-linear singular integral equations used in fluid mechanics
Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...
Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain.
Existence of solutions for a class of quasi-linear singular integro-differential equations in a Sobolev space.
Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations
2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy kernel.
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.