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Burlutskaya, M. Sh.; Kurdyumov, V. P.; Lukonina, A. S.; Khromov, A. P.

A functional-differential operator with involution. (English. Russian original) Zbl 1166.34322

Dokl. Math. 75, No. 3, 399-402 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 4, 443-446 (2007).
The authors consider the functional-differential operator
\[ l(y)=a_1 y'(x)+a_2 y'(\theta(x))+p_1 (x)y(x)+p_2(x)y(\theta(x)), \enskip x\in [0,1], \]
with involution \(\theta(x)=1-x\) and give some applications of this operator to the problem of expansion in eigen-and associated functions.
Reviewer: Panagiotis Ch. Tsamatos (Ioannina)

Cited in 1 Review
Cited in 11 Documents

MSC:

34K05 General theory of functional-differential equations
34K06 Linear functional-differential equations

Keywords:

functional differential operator; involution; reflection; expansion in eigen- and associated functions
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References:

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