Skip to main content
SpringerLink
Log in

To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems

  • SHORT COMMUNICATIONS
  • Published:
Differential Equations Aims and scope Submit manuscript

Abstract

We propose a constructive approach to proving the existence of solutions of operator equations in a Banach space. This approach is applied to the construction and analysis of solutions of matrix Riccati equations bounded on the half-line and not containing a linear term.

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. Laptinskii, V.N., On solutions of the Riccati equation bounded on the half-line, Vestsi Akad. Navuk Belarusi. Ser. Fiz.-Mat. Navuk, 1995, no. 2, pp. 12–16.

  2. Laptinskii, V.N., On solutions to nonlinear differential equations bounded on the half-line, Differ. Equations, 1996, vol. 32, no. 1, pp. 137–139.

    MathSciNet  Google Scholar 

  3. Laptinskii, V.N., On solutions to nonlinear differential systems bounded on the half-line, Differ. Equations, 1997, vol. 33, no. 2, pp. 275–277.

    MathSciNet  Google Scholar 

  4. Laptinskii, V.N., On the problem of solutions of nonlinear differential systems bounded on the half-line, Vestsi Nats. Akad. Navuk Belarusi. Ser. Fiz.-Mat. Navuk, 2008, no. 1, pp. 13–15.

  5. Laptinskii, V.N., On the asymptotic behavior of solutions of nonlinear differential systems, Differ. Equations, 2008, vol. 44, no. 2, pp. 213–218.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kantorovich, L.V. and Akilov, G.P., Funktsional’nyi analiz (Functional Analysis), Moscow: Nauka, 1977.

    Google Scholar 

  7. Trenogin, V.A., Funktsional’nyi analiz (Functional Analysis), Moscow: Nauka, 1980.

    Google Scholar 

  8. Zabreiko, P.P. and Laptinskii, V.N., The fixed point principle and nonlocal solvability theorems for essentially nonlinear differential equations, Dokl. Akad. Nauk Belarusi, 1997, vol. 41, no. 1, pp. 5–9.

    MathSciNet  MATH  Google Scholar 

  9. Zubov, V.I., Lektsii po teorii upravleniya (Lectures on Control Theory), Moscow: Nauka, 1975.

    Google Scholar 

  10. Egorov, A.I., Uravneniya Rikkati (Riccati Equations), Moscow: Fizmatlit, 2001.

    MATH  Google Scholar 

  11. Demidovich, B.P., Lektsii po matematicheskoi teorii ustoichivosti (Lectures on the Mathematical Theory of Stability), Moscow: Nauka, 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Belarusian–Russian University, Mogilev, 212000, Belarus

    V. N. Laptinskii

Authors
  1. V. N. Laptinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. N. Laptinskii.

Additional information

Translated by V. Potapchouck

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Laptinskii, V.N. To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems. Diff Equat 58, 1566–1570 (2022). https://doi.org/10.1134/S00122661220110131

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S00122661220110131

Search

Navigation