On a Class of Integral Equations Involving Kernels of Cosine and Sine Type

L. P. Castro (), R. C. Guerra () and N. M. Tuan ()
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L. P. Castro: University of Aveiro, CIDMA
R. C. Guerra: University of Aveiro, CIDMA
N. M. Tuan: Vietnam National University

Chapter Chapter 5 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 47-57 from Springer

Abstract: Abstract We consider a class of integral equations characterized by kernels of cosine and sine type and study their solvability. Moreover, we analyse the integral operator T, which is generating those equations, by identifying its characteristic polynomial, characterizing its invertibility, spectrum, Parseval-type identity and involution properties. Additionally, a new convolution is here introduced, associated with T, for which we deduce a corresponding factorization property.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_5

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DOI: 10.1007/978-3-319-59384-5_5

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