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This monograph is concerned with partial integral operators and so- called integro-differential equations of Barbashin type. Partial inteintegral operators are, loosely speaking, linear or nonlinear operators with integrals which depend on a parameter. Barbashin equations are special integro-differential equations whose right-hand sides contain both a multiplication operator and an integral operator. Both notions are closely related; for example, an initial value problem for a Barbashin integro-differential equation, linear or nonlinear, leads in a natural way to a fixed point problem involving a partial integral operator.

Idioma Inglés
Publicación 2000
Editorial CRC Press
Categoría Ciencias


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