EXISTENCE OF A POSITIVE SOLUTION FOR A FIRST-ORDER P-LAPLACIAN BVP WITH IMPULSIVE ON TIME SCALES | Zendy

Yin Lijian | Zendy; Zhe Zhang | Zendy

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EXISTENCE OF A POSITIVE SOLUTION FOR A FIRST-ORDER <i>P</i>-LAPLACIAN BVP WITH IMPULSIVE ON TIME SCALES

Author(s) -

Yin Lijian,

Zhe Zhang

Publication year - 2012

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2012007

Subject(s) - p laplacian , banach space , mathematics , order (exchange) , operator (biology) , laplace operator , first order , combinatorics , physics , mathematical physics , mathematical analysis , boundary value problem , chemistry , biochemistry , finance , repressor , transcription factor , economics , gene

In this paper, we consider the existence of a positive solution for a rst-order p-Laplacian BVP with impulsive on time scales: ϕp(y ∆ (t)) = h(t)f(y(t)) t 2 (0,T)Tnfτg, Imp(y(τ)) = Iy(t), y(0) = B0(T). Using the xed-point theory, we have established the problem in a Banach space with an appropriate operator. Our main contribution is to the combi- nation of the rst-order p-Laplacian BVP and the impulsive dynamic equation. We obtained some new results which have advanced recent developments on this type of problem.

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