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International Journal of Differential Equations
Volume 2010 (2010), Article ID 520486, 9 pages
http://dx.doi.org/10.1155/2010/520486
Research Article

Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality

Department of Mathematics, University of Toyama, Toyama 930-8555, Japan

Received 3 September 2009; Revised 10 December 2009; Accepted 11 December 2009

Academic Editor: Yuri V. Rogovchenko

Copyright © 2010 Norio Yoshida. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. I. Díaz, Nonlinear Partial Differential Equations and Free Boundaries. Vol. I. Elliptic Equation, vol. 106 of Research Notes in Mathematics, Pitman, Boston, Mass, USA, 1985. View at Zentralblatt MATH · View at MathSciNet
  2. J. Jaroš, T. Kusano, and N. Yoshida, “Picone-type inequalities for half-linear elliptic equations and their applications,” Advances in Mathematical Sciences and Applications, vol. 12, no. 2, pp. 709–724, 2002. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. N. Yoshida, “Picone-type inequalities for a class of quasilinear elliptic equations and their applications,” in Differential & Difference Equations and Applications, pp. 1177–1185, Hindawi Publishing Corporation, New York, NY, USA, 2006. View at Google Scholar · View at MathSciNet
  4. W.-T. Li and X. Li, “Oscillation criteria for second-order nonlinear differential equations with integrable coefficient,” Applied Mathematics Letters, vol. 13, no. 8, pp. 1–6, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. N. Yoshida, “Forced oscillation criteria for superlinear-sublinear elliptic equations via Picone-type inequality,” Journal of Mathematical Analysis and Applications, vol. 363, no. 2, pp. 711–717, 2010. View at Publisher · View at Google Scholar
  6. N. Yoshida, “Oscillation of half-linear partial differential equations with first order terms,” Studies of the University of Žilina, vol. 17, no. 1, pp. 177–184, 2003. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. O. Došlý and P. Řehák, Half-Linear Differential Equations, vol. 202 of North-Holland Mathematics Studies, Elsevier Science B.V., Amsterdam, The Netherlands, 2005. View at Zentralblatt MATH · View at MathSciNet
  8. T. Kusano and Y. Naito, “Oscillation and nonoscillation criteria for second order quasilinear differential equations,” Acta Mathematica Hungarica, vol. 76, no. 1-2, pp. 81–99, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. T. Kusano, Y. Naito, and A. Ogata, “Strong oscillation and nonoscillation of quasilinear differential equations of second order,” Differential Equations and Dynamical Systems, vol. 2, no. 1, pp. 1–10, 1994. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. T. Kusano, J. Jaroš, and N. Yoshida, “A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order,” Nonlinear Analysis: Theory, Methods & Applications, vol. 40, no. 1–8, pp. 381–395, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. N. Yoshida, Oscillation Theory of Partial Differential Equations, World Scientific, Hackensack, NJ, USA, 2008. View at MathSciNet
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