Introduction to the theory of linear functional differential equations. Transl. from the Russian. (English) Zbl 0867.34051

Azbelev, N.; Maksimov, V.; Rakhmatullina, L.

Advanced Series in Mathematical Science and Engineering. 3. Atlanta, GA: World Federation Publishers Company. 172 p. (1995).

The authors deal mainly with linear functional differential equations from a functional analysis point of view, with emphasis on linear boundary value problems, composition operator, Green operator, continuous dependence of the solutions of boundary value problems, linear equations with after effect and abstract linear functional differential equations. All these topics are systematically discussed.

Reviewer: Marcos Lizana (Merida)

MSC:

34K05	General theory of functional-differential equations
34-02	Research exposition (monographs, survey articles) pertaining to ordinary differential equations
34K10	Boundary value problems for functional-differential equations
34G10	Linear differential equations in abstract spaces

Keywords:

linear functional differential equations; linear boundary value problems; Green operator