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- Title
On the combination of Lebesgue and Riemann integrals in theory of convolution equations.
- Authors
Engibaryan, N. B.
- Abstract
Using the example of scalar and vector Wiener–Hopf equations, we consider two methods for combining the options for the Riemann integral and Lebesgue functional spaces in problems of studying and solving integral convolution equations. The method of nonlinear factorization equations and the kernel averaging method are used. A generalization of the direct Riemann integrability is introduced and applied.
- Subjects
LEBESGUE integral; RIEMANN integral; YANG-Baxter equation; NONLINEAR equations; INTEGRAL equations
- Publication
Theoretical & Mathematical Physics, 2024, Vol 218, Issue 1, p68
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577924010057