Skip to main content
Log in

On the Integration of a Nonlinear System of Differential Equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

We study a system of nonlinear differential equations used as basic for the construction of triangular models for commutative systems of linear nonself-adjoint bounded operators.

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

Access this article

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. V. A. Zolotarev, “Functional models of commutative systems of linear operators and the de-Branges spaces on a Riemannian surface,” Mat. Sb., 200, No. 3, 31–48 (2009).

    Article  MathSciNet  Google Scholar 

  2. V. A. Zolotarev, “Time cones and a functional model on a Riemannian surface,” Mat. Sb., 181, No. 7, 965–994 (1990).

    Google Scholar 

  3. V. A. Zolotarev, “Spectral analysis of nonself-adjoint commutative systems of operators and nonlinear differential equations,” Teor. Funkts. Funkts. Anal. Prilozh., Issue 40, 68–71 (1983).

  4. V. A. Zolotarev, Analytic Methods of Spectral Representations of Nonself-Adjoint and Nonunitary Operators [in Russian], Kharkov National University, Kharkov (2003).

    Google Scholar 

  5. V. A. Zolotarev, Triangular Models and Cauchy Problem for the Characteristic Functions of Commuting Systems of Operators [in Russian], Dep. VINITI, No. 1B916, Kharkov (1981).

  6. I. M. Glazman and Yu. I. Lyubich, Finite-Dimensional Linear Analysis [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  7. M. S. Livshits and A. A. Yantsevich, Theory of Operator Nodes in Hilbert Spaces [in Russian], Kharkov University, Kharkov (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 9, pp. 1223–1234, September, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oleinik, E.V. On the Integration of a Nonlinear System of Differential Equations. Ukr Math J 66, 1369–1382 (2015). https://doi.org/10.1007/s11253-015-1016-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-015-1016-1

Keywords

Navigation