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Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.006
Abstract: Abstract It is a natural expectation that the mathematical models of real-life phenomena have to possess some characteristic qualitative properties of the original process. For parabolic problems the main known qualitative properties are the maximum–minimum…
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Keywords:
nonlinear parabolic;
properties nonlinear;
qualitative properties;
parabolic operators ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.015
Abstract: Abstract The solution of a parabolic problem is expected to reproduce the basic qualitative properties of the original phenomenon, such as nonnegativity/nonpositivity preservation, maximum/minimum principles and maximum norm contractivity, without which the model might lead…
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Keywords:
case pde;
operators case;
parabolic operators;
nonlinear parabolic ... See more keywords
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Published in 2018 at "Mathematical Problems in Engineering"
DOI: 10.1155/2018/9682167
Abstract: A generalized economic model with two kinds of agents (farmers and landlords) is investigated. Farmers produce grains by renting lands from landlords. The land which is not rented is cultivated by less productive landlords. The…
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Keywords:
economic model;
rental rate;
dynamic properties;
model ... See more keywords