On a Generalized Integro-Differential Equation of Barbashin Type | Zendy

Cheng Chur-jen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On a Generalized Integro-Differential Equation of Barbashin Type

Author(s) -

Cheng Chur-jen

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/656

Subject(s) - mathematics , c0 semigroup , ordinary differential equation , mathematical analysis , fourier integral operator , boundary value problem , differential equation , cauchy distribution , multiplication (music) , integral equation , pure mathematics , combinatorics

We study a class of integro-differential equations containing multiplication operators, partial integral operators, and ordinary integral operators. Building on the usual identification of real functions of several variables and abstract functions, such integrodifferential equations may be reformulated as ordinary differential equations in suitable Banach spaces. We give a representation theorem for the corresponding Cauchy operator and study the (unique) solvability of a general boundary value problem.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research