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- Title
Analytic Construction of Solutions to Integral Equations with Linear Functionals and Parameters.
- Authors
Sidorov, N. A.; Sidorov, L. R. D. Dreglea
- Abstract
An integro-functional equation of the Fredholm type with linear functionals and with a small parameter is considered. Sufficient conditions for the existence of a continuous solution are obtained. A method is given for constructing a solution both in the regular case and in the irregular one. In the regular case, the solution is constructed as a Taylor series in powers of the parameter. In the irregular case, the solution is constructed as a Laurent series in powers of the parameter.
- Subjects
INTEGRAL equations; LINEAR equations; FREDHOLM equations; POWER series; FREDHOLM operators; LAURENT series; FUNCTIONALS
- Publication
Technical Physics, 2023, Vol 68, Issue 7, p144
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/S1063784223040060