Skip to main content
SpringerLink
Log in

Multiple Nonnegative Solutions for Singular Positone Boundary Value Problems to the Delay One-dimension p-Laplacian

  • Original Papers
  • Published:
Acta Mathematicae Applicatae Sinica Aims and scope Submit manuscript

Abstract

The existence of multiple nonnegative solutions for singular positone boundary value problems to the delay one-dimension p-Laplacian is discussed in this paper.

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. Agarwal, R.P., O’Regan, D. Singular boundary value problems for superlinear second ordinary and delay differential equations. J. Differential Equations, 130:335–355 (1996)

    Article  Google Scholar 

  2. Agarwal, R.P., O’Regan,D. Existence theorem for single and multiple solutions to singular positone boundary value problems. Jour. Differential Equations, 175:393–414 (2001)

    Article  MATH  Google Scholar 

  3. R. P. Agarwal, D. O’Regan, Twin solutions to singular Dirichlet problems. J. Math. Anal. Appl., 240:433–445 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  4. Agarwal, R.P., O’Regan, D. Twin solutions to singular boundary value problems. Proc. Amer. Math. Soc., 128(7):2085–2094 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  5. Agarwal,R.P., O’Regan, D. Multiplicity results for singular conjugate, focal, and (n, p) problems. J. Differential Equations, 170:142–156 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  6. Deimling, K. Nonlinear functional analysis. Springer Verlag, New York, 1985

  7. Erbe, L.H., Kong, Q.K. Boundary value problems for singular second-order functional differential equations. J. Comput. Appl. Math., 53:377–388 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  8. Jiang, D.Q., Wang, J.Y. On boundary value problems for singular second-order functional differential equations. J. Comput. Appl. Math., 116:231–241 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Jiang, D.Q. Multiple positive solutions for boundary value problems of second-order delay differential equations. Appl. Math. Letters, 15:575–583 (2002)

    Article  MATH  Google Scholar 

  10. Jiang, D.Q., Weng, P.X. Multiple positive solutions for boundary value problem of second-order FDE of mixed type. Dynamics of Continuous, Discrete and Impulsive Systems, 7:561–576 (2000)

    MATH  MathSciNet  Google Scholar 

  11. Jiang, D.Q. Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs. Computers and Mathematics with Applications, 40:249–259 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  12. Jiang, D.Q., Liu, H. On the existence of nonnegative radial solutions for p-Laplacian elliptic systems. Ann. Polon. Math., LXXI.1, 19–29 (1999)

    Google Scholar 

  13. L. Kong and J. Wang, Multiple positive solutions for the one-dimensional p-Laplacian. Nonlinear Anal. 42:1327–1333 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  14. J. Y. Wang, The existence of positive solutions for the one-dimensional p-Laplacian. Proc. Amer. Math. Soc. 125:2275–2283 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  15. Wang, J., Gao, W. A singular boundary value problem for the one-dimensional p-Laplacian. J. Math. Anal. Appl. 201:851–866 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  16. Weng, P.X., Jiang, D.Q. Existence of positive solutions for boundary value problem of second-order FDE. Computer and Mathematics with Applications, 37:1–9 (1999)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Business School of Northeast Normal University, Department of Mathematics, Northeast Normal University, Changchun, 130024, China

    Xiao-ning Lin

  2. Applied Science College, Changchun University, Changchun, 130022, China

    Hai-yin Gao

Authors
  1. Xiao-ning Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hai-yin Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiao-ning Lin.

Additional information

Supported by the National Natural Science Foundation of China (No.10171010)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lin, Xn., Gao, Hy. Multiple Nonnegative Solutions for Singular Positone Boundary Value Problems to the Delay One-dimension p-Laplacian. Acta Mathematicae Applicatae Sinica, English Series 21, 405–414 (2005). https://doi.org/10.1007/s10255-005-0248-5

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10255-005-0248-5

Keywords

2000 MR Subject Classification

Search

Navigation