Research output: Contribution to journal › Article › peer-review
Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems. / Slavyanov, S. Yu.
In: Journal of Mathematical Sciences, Vol. 128, No. 2, 01.07.2005, p. 2822-2824.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
AU - Slavyanov, S. Yu
PY - 2005/7/1
Y1 - 2005/7/1
N2 - The relationship between the eigenfunctions of a Fredholm-type integral equation with rapidly oscillating kernel and the dynamic mapping is analyzed. Differential operators commuting with the Fourier operator are constructed. These operators are closely related to nontrivial solutions of the unperturbed nonlinear functional equation related to the dynamic mapping.
AB - The relationship between the eigenfunctions of a Fredholm-type integral equation with rapidly oscillating kernel and the dynamic mapping is analyzed. Differential operators commuting with the Fourier operator are constructed. These operators are closely related to nontrivial solutions of the unperturbed nonlinear functional equation related to the dynamic mapping.
UR - http://www.scopus.com/inward/record.url?scp=21544434353&partnerID=8YFLogxK
U2 - 10.1007/s10958-005-0239-3
DO - 10.1007/s10958-005-0239-3
M3 - Article
AN - SCOPUS:21544434353
VL - 128
SP - 2822
EP - 2824
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 36182609