Skip to main content
Log in

On the estimation of solutions for some linear systems of differential equations

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this paper we estimate the solutions of homogeneous linear system of differential equations with unbounded coefficients on the real lineR. We also give a necessary and sufficient condition in order that the linear differential operator with unbounded coefficients has a bounded inverse in the scalar case.

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.

Similar content being viewed by others

References

  1. Awad L R. On existence of bounded solutions for systems of homogeneous linear differential equations with unbounded coefficients. J of Natural Science, and Mathematics. Lahore. Pakistan 1992, 32(2): 167–176

    Google Scholar 

  2. Demodovitisch B P. Lectures in the Theory of Mathematical Stability. Moscow: Nauk., (In Russian) 1967

    Google Scholar 

  3. Rao M, Rama Mohana. Ordinary Differential Equations Differential Equations. First Published In the United Kingdom in (1981)

  4. Mohammadiev I M. On the inverses of differential operators in the space of continuous-bounded functions on the real line. 1971, 196(1): 47–49

    Google Scholar 

  5. Kolmagorov A N, Famen C V: Elements of Theory of Functions and Functional Analysis. Moscow: (In Russian) 1989

  6. Krein S C. Linear Differential Equations In Banach Space. American Mathematical Society, 1972

  7. Awad L R. On the Normal Solvability of Some Systems of Linear Differential Equations with Unbounded Coefficients. Delta J of Science, 1993

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Awad, L.R., El-Kholy, E.M. & El-Bendary, S. On the estimation of solutions for some linear systems of differential equations. Acta Mathematica Sinica 14, 41–46 (1998). https://doi.org/10.1007/BF02563882

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02563882

Keywords

1991MR Subject Classification

Chinese Library Classification

Navigation