Skip to main content
Log in

On singularly perturbed quasilinear systems

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, the objective is to give sufficient conditions for the existence of solution of the nonlinear two-point boundary value problem(1.1). And we employ these results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system (DP)q.

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. Lin Zong-chi Boundary and angular layer behaviour in singular perturbed quasilinear systems,Appl. Math. and Mech. 7, 5 (1986), 433–441.

    Article  MathSciNet  Google Scholar 

  2. Scorza-Dragoni, Sur problema dei valori ai limiti per i systemi di equazioni differenziali del secondo ordine,Bell. Un. Mat. Ital.,14, (1935), 225–230.

    MATH  Google Scholar 

  3. Jackson, L.K., Subfunctions and second-order ordinary differential inequalities.Adv. in Math., 2 (1968), 308–363.

    Article  Google Scholar 

  4. Schrader, K. W., Existence theorems for second order boundary value problems,J. Differential Eqs., 5 (1969), 572–584.

    Article  MATH  MathSciNet  Google Scholar 

  5. Schmitt Klaus, A nonlinear boundary value problem,J. Differential Eqs., 7 (1970), 527–537.

    Article  Google Scholar 

  6. Heidel, J.W., A second-order nonlinear boundary value problem,J. Math. Anal. Appl.,48 (1974), 493–503.

    Article  MATH  MathSciNet  Google Scholar 

  7. O'Donnell, M.A., Boundary and interior layer behavior in singularly perturbed system of boundary value problems, Doctoral Diss., U,C. Davis (1983).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Lin Zong-chi

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guang-xu, L. On singularly perturbed quasilinear systems. Appl Math Mech 8, 1027–1036 (1987). https://doi.org/10.1007/BF02482688

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02482688

Keywords

Navigation