Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type

In: Mathematica Slovaca, vol. 64, no. 1

Afif Ben Amar - Aref Jeribi - Bilel Krichen

Details:

Year, pages: 2014, 155 - 174

Keywords:

operator matrix, fixed point theory, growing cell populations

DOI: https://doi.org/10.2478/s12175-013-0193-3

About article:

In this manuscript, we introduce and study the existence of solutions for a coupled system of differential equations under abstract boundary conditions of Rotenberg's model type, this last arises in growing cell populations. The entries of block operator matrix associated to this system are nonlinear and act on the Banach space $X_p:=L_p([0,1]×[a,b];dμ dv)$, where $0≤ a

How to cite:

ISO 690:

Amar, A., Jeribi, A., Krichen, B. 2014. Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type. In Mathematica Slovaca, vol. 64, no.1, pp. 155-174. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0193-3

APA:

Amar, A., Jeribi, A., Krichen, B. (2014). Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type. Mathematica Slovaca, 64(1), 155-174. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0193-3

About edition: