Abstract:
In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored. The matter of principle is the fact, that the considered equation has discontinuous coefficients which satisfy only some conditions of PP-integrability type and boundedness, i.e. the considered hyperbolic differential operator has no traditional conjugate operator. In particular, for example, Riemann function under Goursat conditions for such equation cannot be constructed by classical method of characteristics.
Citation:
I. G. Mamedov, “Three-dimensional integro-multipoint boundary value problem for loaded volterra-hyperbolic integro-differential equations of Bianchi type”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 8–20
\Bibitem{Mam12}
\by I.~G.~Mamedov
\paper Three-dimensional integro-multipoint boundary value problem for loaded volterra-hyperbolic integro-differential equations of Bianchi type
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 8--20
\mathnet{http://mi.mathnet.ru/vsgtu972}
\crossref{https://doi.org/10.14498/vsgtu972}
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https://www.mathnet.ru/eng/vsgtu972
https://www.mathnet.ru/eng/vsgtu/v126/p8
This publication is cited in the following 4 articles:
A. Yu. Trynin, “Ob odnom metode resheniya smeshannoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s pomoschyu operatorov ATλ,j”, Izv. vuzov. Matem., 2024, no. 2, 59–80
A. Yu. Trynin, “On One Method for Solving a Mixed Boundary Value Problem for a Parabolic Type Equation Using Operators ATλ,j”, Russ Math., 68:2 (2024), 52
A. Yu. Trynin, “A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators ATλ,j”, Izv. Math., 87:6 (2023), 1227–1254
I. G. Mamedov, “On a Problem with Conditions on All Boundary for a Pseudoparabolic Equation”, American Journal of Operational Research, 3:2 (2013), 51–56
Citation in format AMSBIB
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