Maximal and minimal nonnegative solutions of a semilinear Euler-Poisson-Darboux equation
نویسندگان
چکیده
منابع مشابه
The Euler-poisson-darboux Equation in the Exceptional Cases1
where in the EPD equation (1.1) it is understood that Aw = 2Zf=i «*,•*< and k is a parameter, — °° < k < °°. We designate a solution of Li[w]=0 by um(x, t), writing x in place of *i, ■ • • , xm. While particular results for this famous equation go back to Poisson and even to Euler, a systematic investigation of the Cauchy problem covering all values of k and m is of recent date. The results may...
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is known to be stable if and only if ρ(A) < 1. Models of real world dynamical phenomena often involve positive quantities. A dynamical system (1) is called positive if any trajectory of the system starting in the positive orthant R+ remains in R+. In this case, the matrix A has only real positive entries. In many cases, it may be useful to consider systems with a known “nominal” part A and a un...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1982
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90054-3