The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (899 KB) | Metadata | Table of Contents | ZAA summary
Volume 14, Issue 4, 1995, pp. 899–912
DOI: 10.4171/ZAA/656

Published online: 1995-12-31

On a Generalized Integro-Differential Equation of Barbashin Type

Cheng Chur-jen[1]

(1) Tunhai University, Taichung, Taiwan

We study a class of integro-differential equations containing multiplication opera-tors, partial integral operators, and ordinary integral operators. Building on the usual identification of real functions of several variables and abstract functions, such integro- differential 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.

Keywords: Integro-differential equations of Barbashin type, differential equations in Banach spaces, partial integral operators, Cauchy operators, boundary value problems, spectral radius, ideal spaces

Chur-jen Cheng: On a Generalized Integro-Differential Equation of Barbashin Type. Z. Anal. Anwend. 14 (1995), 899-912. doi: 10.4171/ZAA/656