Skip to main content
SpringerLink
Log in

Uniqueness of Solutions of Some Nonlocal Boundary-Value Problems for Operator-Differential Equations on a Finite Segment

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For the equation L 0 x(t) + L 1 x (1)(t) + ... + L n x (n)(t) = 0, where L k, k = 0, 1, ... , n, are operators acting in a Banach space, we formulate conditions under which a solution x(t) that satisfies some nonlocal homogeneous boundary conditions is equal to zero.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, American Mathematical Society, Providence (1957).

  3. G. V. Radzievskii, “Linear independence and completeness of derived chains corresponding to a boundary-value problem on a finite segment,” Ukr. Mat. Zh., 39, No. 3, 279–285 (1987).

    Google Scholar 

  4. G. V. Radzievskii, “Uniqueness of solutions of boundary-value problems for operator-differential equations on a finite segment and on semiaxis,” Ukr. Mat. Zh., 46, No. 5, 581–603 (1994).

    Google Scholar 

  5. J.-L. Lions and E. Magenes, Problémes aux Limites Non Homogénes et Applications, Vol. 1 Dunod, Paris, (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    G. V. Radzievskii

Authors
  1. G. V. Radzievskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Radzievskii, G.V. Uniqueness of Solutions of Some Nonlocal Boundary-Value Problems for Operator-Differential Equations on a Finite Segment. Ukrainian Mathematical Journal 55, 1218–1222 (2003). https://doi.org/10.1023/B:UKMA.0000010618.96768.64

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:UKMA.0000010618.96768.64

Keywords

Search

Navigation