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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Twin solutions to singular boundary value problems
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by Ravi P. Agarwal and Donal O’Regan PDF
Proc. Amer. Math. Soc. 128 (2000), 2085-2094 Request permission

Abstract:

In this paper we establish the existence of two nonnegative solutions to singular $(n,p)$ and singular $(p,n-p)$ focal boundary value problems. Our nonlinearity $f(t,y)$ may be singular at $y=0$, $t=0$ and/or $t=1$.
References
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  • R. P. Agarwal and D. O’Regan, Right focal singular boundary value problems, ZAMM 79(1999), 363–373.
  • R. P. Agarwal, D. O’Regan and V. Lahshmikantham, Singular $\,(p,n-p)\,$ focal and $\,(n,p)\,$ higher order boundary value problems, Nonlinear Analysis, to appear.
  • R. P. Agarwal, D. O’Regan and P. J. Y. Wong, Positive solutions of Differential, Difference and Integral equations, Kluwer, Dordrecht, 1999.
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Additional Information
  • Ravi P. Agarwal
  • Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
  • Email: matravip@nus.edu.sg
  • Donal O’Regan
  • Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland
  • MR Author ID: 132880
  • Email: donal.oregan@nuigalway.ie
  • Received by editor(s): September 1, 1998
  • Published electronically: February 25, 2000
  • Communicated by: Hal L. Smith
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2085-2094
  • MSC (1991): Primary 34B15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05320-X
  • MathSciNet review: 1664297