Different types of solvability conditions for differential operators

Sergey Kryzhevich; Vitaly Volpert

doi:10.0000/aaaaa0000

Different types of solvability conditions for differential operators

Abstract

Solvability conditions for linear differential equations are usually formulated in terms of orthogonality of the right-hand side to solutions of the homogeneous adjoint equation. However, if the corresponding operator does not satisfy the Fredholm property such solvability conditions may be not applicable. For this case, we obtain another type of solvability conditions, for ordinary differential equations on the real axis, and for elliptic problems in unbounded cylinders.

Citations

0

CrossRef
0

Web of Science
0

Scopus

Authors (2)

Sergey Kryzhevich dr hab.
- Saint Petersburg State University
Vitaly Volpert Professor
- Université Lyon-1

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

LINEAR DIFFERENTIAL EQUATIONS, SOLVABILITY CONDITIONS, NON-FREDHOLM OPERATORS

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

Electronic Journal of Differential Equations no. 2006, pages 1 - 24,
ISSN: 1072-6691

Language:

English

Publication year:

2006

Bibliographic description:

Kryzhevich S., Volpert V.: Different types of solvability conditions for differential operators// Electronic Journal of Differential Equations -,iss. 100 (2006), s.1-24

DOI: