«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2009. Vol. 1

The continuous solutions of a singular integro-differential equa¬tion of the second order in Banach spaces

Author(s)
S. S. Orlov
Abstract

The article is devoted to the investigation of Cauchy problem for linear integro-differential operator equation of the second order with degeneration in Banach spaces. Sufficient conditions of the classical (twice strongly continuously differentiable) solution existence and uniqueness are shown explicit formulas of the solution are obtained.

Keywords
Banach space, Fredholm operator, Jordan set
UDC
517.983.51
References

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2. Вайнберг М. М. Теория ветвления решений нелинейных уравнений / М. М. Вайнберг, В. А. Треногин. — М.: Наука, 1969.

3. Sidorov N. Lyapunov-Schmidt Methods in Nonlinear Analysisand Applications / N. Sidorov, B. Loginov, A. Sinitsyn and M. Falaleev. — Dordrecht: Kluwer Acad. Publ., 2002.

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