Skip to main content
Log in

A Note on Weakly Isotone Maps and Common Solutions for Differential Systems

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in ℝn and, as a rule, in Banach lattices

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. Singh, S. L.: Application of fixed point theorems to nonlinear integrodifferential equations. Riv. Mat. Univ. Parma, 16(4), 205–212 (1990)

    MATH  MathSciNet  Google Scholar 

  2. Pathak, H. K.: Application of fixed point theorems to abstract Volterra integrodifferential equations. Riv. Mat. Univ. Parma, 3(5), 193–202 (1994)

    MATH  MathSciNet  Google Scholar 

  3. Dhage, B. C., Heikkilä, S., Kumpulainen, M.: On common fixed points with applications to differential equations in ordered Banach space. Indian J. Pure Appl. Math., 26(5), 411–416 (1995)

    MATH  MathSciNet  Google Scholar 

  4. Dhage, B. C.: Existence theorem for common solution of differential equations in locally convex spaces. An. Ştiinţ. Univ. Al. I. Cuza Iaşi Secţ. I a Mat., 39(3), 251–257 (1993)

    MATH  MathSciNet  Google Scholar 

  5. Dhage, B. C.: Existence theorems for common solutions of differential equations in Banach space. Jñānābha, 27, 47–52 (1997)

    MATH  MathSciNet  Google Scholar 

  6. Dhage, B. C.: Condensing mappings and applications to existence theorems for common solution of differential equations. Bull. Korean Math. Soc., 36(3), 565–578 (1999)

    MATH  MathSciNet  Google Scholar 

  7. Heikkilä, S., On the solvability of implicit functional equations with applications to discontinuous differential equations. Acta Mathematica Sinica, English Series, 22(1), 223–232 (2006)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giuseppe Marino.

Additional information

The first author is supported by MIUR (ITALY), fondi 40%

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marino, G., Colao, V. & Muglia, L. A Note on Weakly Isotone Maps and Common Solutions for Differential Systems. Acta Math Sinica 22, 1171–1174 (2006). https://doi.org/10.1007/s10114-005-0643-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-005-0643-0

Keywords

MR (2000) Subject Classification

Navigation