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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.

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Authors (2)

  • Photo of dr hab. Sergey Kryzhevich

    Sergey Kryzhevich dr hab.

    • Saint Petersburg State University
  • Photo of Professor Vitaly Volpert

    Vitaly Volpert Professor

    • Université Lyon-1

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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:
Digital Object Identifier (open in new tab) 10.0000/aaaaa0000
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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