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A generalized upper and lower method for singular boundary value problems for quasilinear dynamic equations

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Abstract

In this paper, we obtain some existence results for a singular boundaryvalue problem (BVP) for quasilinear dynamic equations on time scales. In particular, our nonlinearity may be singular in its dependent variable and is allowed tochange sign.

참고문헌 (10)

  1. R. Agarwal, "Multiple positive solutions of singular discrete p-Laplacian problems via variational methods", 2, pp.93~99 (2005)
  2. R. Agarwal, "Nonpositone discrete boundary value problems", 39, pp.207~215 (2000)
  3. E. Akn, "Boundary value problems for a dierential equation on a measure chain", 10, pp.17~30 (2000)
  4. M. Bohner, "Dynamic Equations on Time Scales: An Introduction with Applications" (2001), Birkhauser
  5. M. Bohner, "Advances in Dynamic Equations on Time Scales" (2003), Birkhauser
  6. D. Jiang, "Upper and lower solutions method and a superlinear singular boundary value problem", 42, pp.927~940 (2001)
  7. D.Q. Jiang, "Upper and lower solution method and a singular boundary value problemfor the one-dimension p-laplacian", 252, pp.631~648 (2000)
  8. D. Jiang, "A generalized upper and lower solution method for singulardiscrete boundary value problems for the one-dimensional p-Laplacian", 11(1), pp.35~47 (2005)
  9. D. Jiang, "Upper and lower solutions method and a superlinearsingular discrete boundary value problem"
  10. D. Jiang, "Existence theory for single and multiple solutions to singular positone discrete dirichlet boundary value problems to the one-dimensionp-laplacian", 40, pp.367~381 (2004)

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