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Coexistence states for systems of operator equations

By El Khannoussi, Mohammed Said

Coexistence states for systems of operator equations

0 - Default Title
Description
In many systems of differential or integral equations that arise from models of population dynamics, chimical engeenering, infectious diseases, economics, neutron transport and other systems, it is used to find coexistence states for systems of integral or differential equations in ordered Banach spaces. The so called "coexistence states" are of special importance: these are solutions (x,y) with both components nonnegative and nontrivial. Semitrivial solutions i.e., solutions (x,y) with exactly one component nonnegative and nontrivial, are also of interest. Note that a direct application of the corresponding Amann's results implies the existence of a solution (x,y) but some component of the fixed point (x,y) may be trivial. To solve this problem it is the purpose of the book to expand and generalize the results by Amann and Krasnosel'skii concerning the existence of fixed points of cone expansion and compression to assure the existence of coexistence states. We also give important applications to demonstrate the importance of the abstract theorems given here.
Product details
Binding:
Paperback
Number of Pages:
88
Release Date:
2025-11-03
Publication Date:
2025-11-03
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6209188222
ISBN13:
9786209188220
Weight:
149 g
Height:
150 cm
Width:
220 cm
Thickness:
6 cm
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