Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-williams

@inproceedings{DavisThreeSP,
  title={Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-williams},
  author={John M. Davis and Johnny Henderson}
}
We study the existence of solutions to the fourth order Lidstone boundary value problem y(t) = f(y(t),−y(t)), y(0) = y(0) = y(1) = y(1) = 0 . By imposing growth conditions on f and using a generalization of the multiple fixed point theorem by Leggett and Williams, we show the existence of at least three symmetric positive solutions. We also prove analogous results for difference equations. 
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References

Publications referenced by this paper.
Showing 1-10 of 23 references

A generalization of the Leggett-Williams fixed point theorem, Math

  • R. I. Avery
  • Sci. Res. Hot-Line
  • 1999
Highly Influential
8 Excerpts

Positive Solutions of Differential, Difference, and Integral Equations

  • R. P. Agarwal, D. O’Regan, P.J.Y. Wong
  • Kluwer Academic Publishers, Boston, 1999.
  • 1999
Highly Influential
8 Excerpts

Triple positive solutions and dependence on higher order derivatives

  • J. M. Davis, P. W. Eloe, J. Henderson
  • J. Math. Anal. Appl
  • 1999
Highly Influential
12 Excerpts

Multiple positive fixed points of nonlinear operators on ordered Banach spaces

  • R. W. Leggett, L. R. Williams
  • Indiana Univ. Math. J
  • 1979
Highly Influential
6 Excerpts

A generalization of the Leggett - Williams fixed point theorem

  • J. Henderson
  • Math . Sci . Res . HotLine
  • 1999

Comparison of eigenvalues for discrete Lidstone boundary value problems

  • P. W. Eloe, J. Henderson
  • Dynam . Systems Appl .
  • 1999

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