Skip to main content
SpringerLink
Log in

On the Cauchy problem for non-linear systems of partial differential-functional equations of the first order

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

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

References

  1. A. Adamus-Kulczycka, Global existence for non-linear partial differential equations of the first order,Ann. Polon. Math.,27 (1973), 257–264.

    Google Scholar 

  2. C. Z. Azamatov, On the correctness of the Cauchy problem for some partial differential equations with a deviated argument, (Russian),Differen. Urav.,XI,12 (1975), 2196–2204.

    Google Scholar 

  3. C. N. Bołkovoi, J. I. Zitomirskii, On the Cauchy problem for involutory functional equations, (Russian),Differen. Urav.,X,11 (1974), 2021–2028.

    Google Scholar 

  4. M. I. Hazan, On the global existence of a continuous solution of an initial-boundary problem for quasilinear equations of the first order, (Russian),Differen. Urav.,X,8 (1974), 1478–1485.

    Google Scholar 

  5. E. Kamke,Differentialgleichungen II (Leipzig, 1965).

  6. Z. Kamont, On the Cauchy problem for linear partial differential-functional equations of the first order,Ann. Polon. Math.,35 (1977), 27–48.

    Google Scholar 

  7. Z. Kamont, On the existence and uniqueness of solutions of the Cauchy problem for linear partial differential-functional equations of the first order,Math. Nachr.,80 (1977), 183–200.

    Google Scholar 

  8. Z. Kamont, On the Cauchy problem for non-linear partial differential-functional equations of the first order,Math. Nachr.,88 (1979), 13–29.

    Google Scholar 

  9. V. Lakshmikantham, S. Leela,Differential and Integral Inequalities (New York—London, 1969).

  10. J. Szarski, Generalized Cauchy problem for differential-functional equations with first order partial derivatives,Bull. Acad. Polon. Sci.,24 (1976), 576–580.

    Google Scholar 

  11. W. Walter,Differential and Integral Inequalities, Springer-Verlag (1970).

  12. T. Wazewski, Sur le domaine d'existence des intégrales de l'équation aux dérivées partielles du premier ordre,Ann. Soc. Polon. Math.,13 (1934), 1–9.

    Google Scholar 

  13. K. Zima, Sur les équations aux derivées partielles du premier ordre à argument fonctionnel,Ann. Polon. Math.,22 (1969), 49–59.

    Google Scholar 

  14. K. Zima, On a differential inequality with a lagging argument,Ann. Polon. Math.,18 (1966), 227–233.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics University of Gdansk, Ul. Wita Stwosza 57, 80-952, Gdansk, Poland

    Z. Kamont

Authors
  1. Z. Kamont
    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

Kamont, Z. On the Cauchy problem for non-linear systems of partial differential-functional equations of the first order. Acta Mathematica Academiae Scientiarum Hungaricae 35, 295–309 (1980). https://doi.org/10.1007/BF01886301

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01886301

Keywords

Search

Navigation