Random Hermite differential equations: Mean square power series solutions and statistical properties
نویسندگان
چکیده
منابع مشابه
Random Hermite differential equations: Mean square power series solutions and statistical properties
This paper deals with the construction of random power series solution of second order linear differential equations of Hermite containing uncertainty through its coefficients and initial conditions. Under appropriate hypotheses on the data, we establish that the constructed random power series solution is mean square convergent. We provide conditions in order to obtain random polynomial soluti...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2011
ISSN: 0096-3003
DOI: 10.1016/j.amc.2011.09.008