Solutions of integro-differential equations in classes of functions with power singularities
1 Department of Higher Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine
2 Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
Keywords:
nonlinear integral equation of Hammershtein type
Abstract
The existence of the solution of the integro-differential equation, being the generalization of nonlinear integral equation of Hammershtein type, in the class of the function, having the point singularities is established.
References
[1] Lopushanska G.P. Solutions of generalized elliptic problems with strong power singularities / / Mat. studii. - 1998. - 9, N 1. - P.29-41.
[2] Lyusternik L.A., Sobolev V.I. Elements of functional analysis. - M.: Nauka, 1965. - 520 p.
Cite
- ACS Style
- Zhydyk , U.V.; Lopushanska, H. Solutions of integro-differential equations in classes of functions with power singularities. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Zhydyk UV, Lopushanska H. Solutions of integro-differential equations in classes of functions with power singularities. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Ulyana Volodymyrivna Zhydyk , Halyna Lopushanska. 2018. "Solutions of integro-differential equations in classes of functions with power singularities". Bukovinian Mathematical Journal. 1 no. 160.
Export