Some Fixed Point Theorems and Application to Biological Model
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Publication:5450495
DOI10.1080/01630560701749482zbMath1130.47305OpenAlexW1973321139MaRDI QIDQ5450495
Maher Mnif, Aref Jeribi, Afif Ben Amar
Publication date: 20 March 2008
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560701749482
General topics in linear spectral theory for PDEs (35P05) Population dynamics (general) (92D25) Fixed-point theorems (47H10) Spectrum, resolvent (47A10)
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Cites Work
- Unnamed Item
- Unnamed Item
- A Fokker-Planck equation for growing cell populations
- Compact operators in Banach lattices
- A theory for the age and generation time distribution of a microbial population
- On linear kinetic equations involving unbounded cross-sections
- A survey of the theory of spectral operators
- A nonlinear boundary value problem arising in growing cell populations
- On a nonlinear stationary problem arising in transport theory
- On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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