A nonlinear problem arising in the theory of growing cell populations

DOI10.1016/S1468-1218(01)00015-3zbMath1023.35029MaRDI QIDQ1874648

Aref Jeribi

Publication date: 25 May 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear boundary conditiontransport equationfixed point theorem

Mathematics Subject Classification ID

Related Items (12)

On the existence of solutions of non-linear 2D Volterra integral equations in a Banach space ⋮ On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length ⋮ Study on the existence of solutions for a generalized functional integral equation in \(L^1\) spaces ⋮ Global Bifurcation from the Real Leading Eigenvalue of the Transport Operator ⋮ Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness ⋮ Positive solutions for \(P\)-Laplace problems with nonlinear time-fractional differential equation ⋮ Fixed point methods and accretivity for perturbed nonlinear equations in Banach spaces ⋮ Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population ⋮ Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness ⋮ Nonlinear Leray–Schauder Alternatives for Decomposable Operators in Dunford–Pettis Spaces and Application to Nonlinear Eigenvalue Problems ⋮ Nonlinear semigroup approach to age structured proliferating cell population with inherited cycle length ⋮ Well-posedness of a nonlinear evolution equation arising in growing cell population

Cites Work

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• A model of proliferating cell populations with inherited cycle length
• Dynamics of structured populations with inherited properties
• A theory for the age and generation time distribution of a microbial population
• On an unbounded linear operator arising in the theory of growing cell population
• A nonlinear boundary value problem arising in growing cell populations
• Sur une équation de transport intervenant en dynamique des populations
• On a nonlinear stationary problem arising in transport theory
• On the radial projection in normed spaces

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