A periodic boundary value problem with vanishing Green's function

@article{Graef2008APB,
  title={A periodic boundary value problem with vanishing Green's function},
  author={John R. Graef and Lingju Kong and Haiyan Wang},
  journal={Appl. Math. Lett.},
  year={2008},
  volume={21},
  pages={176-180}
}
In this work, the authors consider the boundary value problem { y + a(t)y = g(t) f (y), 0 ≤ t ≤ 2π, y(0) = y(2π), y(0) = y(2π), and establish the existence of nonnegative solutions in the case where the associated Green’s function may have zeros. The results are illustrated with an example. c © 2007 Elsevier Ltd. All rights reserved. 

References

Publications referenced by this paper.
Showing 1-10 of 11 references

On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations

  • Z. Zhang, J. Wang
  • J. Math. Anal. Appl. 281
  • 2003
Highly Influential
4 Excerpts

On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

  • F. M. Atici, G.Sh. Guseinov
  • J. Comput. Appl. Math
  • 2001
Highly Influential
4 Excerpts

D

  • D. Jiang, J. Chu
  • O’Regan, R. Agarwal, Multiple positive solutions…
  • 2003
2 Excerpts

On the number of positive solutions of nonlinear systems

  • H. Wang
  • J. Math. Anal. Appl. 281
  • 2003
1 Excerpt

Guseinov , On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

  • G. Sh. F. M. Atici
  • J . Comput . Appl . Math .
  • 2001

On the existence of positive solutions to second order periodic BVPs

  • D. Jiang
  • Acta Math. Sci. 18
  • 1998
2 Excerpts

On the existence of positive solutions of ordinary differential equations

  • L. H. Erbe, H. Wang
  • Proc. Amer. Math. Soc. 120
  • 1994
1 Excerpt

Nonlinear Problems in Abstract Cones

  • D. Guo, V. Lakshmikantham
  • Academic Press, Orlando, FL
  • 1988
1 Excerpt

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