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Existence of three positive solutions to some p-Laplacian boundary value problems

Sidi Ammi, M. R.; Torres, D. F. M.

We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some p-Laplacian boundary value problems on time scales. © 2013 Moulay Rchid Sidi Ammi and Delfim F. M. Torres.


Diamond-α Jensen's inequality on time scales

Sidi Ammi, M.R.; Ferreira, R.A.C.; Torres, D.F.M.

The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen's inequality on time scales via the diamond-α integral and present some corollaries, in...


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