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A wave bifurcation is a supercritical Hopf bifurcation from a stable steady constant solution to a stable periodic and nonconstant solution.. The bifurcating solution in the case
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In this section we state our main theorems concerning the existence of a unique local solution to (SDP) and the continuous dependence on the initial data... τ is the initial time of
A Darboux type problem for a model hyperbolic equation of the third order with multiple characteristics is considered in the case of two independent variables.. In the class
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In this section, we prove the strong convergence theorem of the sequence {x n } defined by 1.20 for solving a common element in the solution set of a generalized mixed
In order to solve this problem we in- troduce generalized uniformly continuous solution operators and use them to obtain the unique solution on a certain Colombeau space1. In