Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations

DOI10.1080/17513758.2013.823520zbMath1447.92342OpenAlexW2080915563WikidataQ43760138 ScholiaQ43760138MaRDI QIDQ3304536

Aref Jeribi, Bilel Mefteh, Bilel Krichen

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2013.823520

zbMATH Keywords

weak compactnessoperator matrixfixed-point theorygrowing cell populations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Cell biology (92C37) Boundary value problems for systems of nonlinear first-order PDEs (35F60)

Related Items (13)

Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces ⋮ Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Leray-Schauder fixed point theorems for block operator matrix with an application ⋮ Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions ⋮ Fixed point theory in WC--Banach algebras ⋮ Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras ⋮ Interpolative multivalued $$\alpha _{*}$$-dominated contractive functions in dislocated b-metric spaces and some fixed point results ⋮ Existence of solutions for an infinite system of quadratic integral equations in the Banach algebra \(C(I,c_0)\) ⋮ Fixed-point theorems for multivalued operator matrix under weak topology with an application ⋮ New fixed point theorems for countably condensing maps with an application to functional integral inclusions ⋮ New types of \(F\)-contraction for multivalued mappings and related fixed point results in abstract spaces ⋮ Generalized form of fixed point theorems in Banach algebras under weak topology with an application ⋮ Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

Cites Work

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• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps
• On linear kinetic equations involving unbounded cross-sections
• Some problems of nonlinear analysis
• A nonlinear boundary value problem arising in growing cell populations
• Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg’s model type
• Some Fixed Point Theorems and Application to Biological Model

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