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

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • L. P. Castro

    (University of Aveiro, CIDMA)

  • R. C. Guerra

    (University of Aveiro, CIDMA)

  • N. M. Tuan

    (Vietnam National University)

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.

Suggested Citation

  • L. P. Castro & R. C. Guerra & N. M. Tuan, 2017. "On a Class of Integral Equations Involving Kernels of Cosine and Sine Type," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 0, pages 47-57, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59384-5_5
    DOI: 10.1007/978-3-319-59384-5_5
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