Skip to main content
Log in

PBVP for integro-differential equations of volterra type in B.S.

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

Abstract

In this paper, we study the PBVP for integro-differential equations of Volterra type in Banach spaces. By developing monotone iterative technique for the PBVP, we get some results concerning the existence of extremal solutions, which are the limits of monotone sequences.

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

Reference

  1. S. Hu & V. Lakshmikantham, PBVP for integro-differential equations of Volterra type,Nonlinear Anal.,10(1986), 1203–1208.

    Article  Google Scholar 

  2. V. Lakshmikantham & S. Leela, Nonlinear differential equations in abstract spaces, Pergamon Press. Oxford, New York. 1981.

    Google Scholar 

  3. H. Mönch, BVPs for nonlinear ordinary differential equations * of second order in Banach spaces,Nonlinear Anal.,4(1980), 985–999.

    Article  Google Scholar 

  4. K. Deimling, Nonlinear functional analysis, Springer-Verlag, Berlin, 1985.

    Google Scholar 

  5. Yubo Chen & Wan Zhuang, Existence via the method of upper and lower solutions for nonlinear integro-differential equations in a Banach space,J. Math. Phy. Sci.,20(1986), 181–191.

    Google Scholar 

  6. Yubo Chen & Wan Zhuang, The existence of maximal and minimal solutions of the nonlinear integro-differential equations in Banach spaces,Appli. Anal.,22(1986), 139–147.

    Google Scholar 

  7. S. K. Kaul & A. S. Vatsala, Monotone method for integro-differential equations uith periodic boundary conditions,Appli. Anal.,21(1986), 297–235.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by the Natural Science Foundation of Shandong Province.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu, H. PBVP for integro-differential equations of volterra type in B.S.. Acta Mathematicae Applicatae Sinica 7, 284–288 (1991). https://doi.org/10.1007/BF02005977

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02005977

Keywords

Navigation