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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.027
Abstract: Abstract In this article we consider a one-dimensional reaction-diffusion problem with mixed boundary conditions. We provide conditions for the existence or nonexistence of stable nonconstant solutions whose derivative vanishes at some point. As an application,…
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Keywords:
problem mixed;
diffusion problem;
boundary conditions;
mixed boundary ... See more keywords
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Published in 2017 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446617020057
Abstract: We state a new nonlocal boundary value problem for a mixed parabolic-hyperbolic equation. The equation is of the first kind, i.e., the curve on which the equation changes type is not a characteristic. The nonlocal…
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Keywords:
problem mixed;
mixed parabolic;
hyperbolic equation;
equation ... See more keywords