Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type
نویسندگان
چکیده
منابع مشابه
Eigenvalue-eigenfunction Problem for Steklov’s Smoothing Operator and Differential-difference Equations of Mixed Type
It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space Lloc(R). For μ 6= 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial fun...
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ژورنال
عنوان ژورنال: Opuscula Mathematica
سال: 2013
ISSN: 1232-9274
DOI: 10.7494/opmath.2013.33.1.81