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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 9, Pages 51–58 (Mi ivm9151)  
On the solvability of nonlocal problem for a hyperbolic equation of the second kind

O. A. Repina, S. K. Kumykovab

a Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia
b Kabardino-Balkarian State University, 173 Chernyshevskii str., Nalchik, 360004 Russia
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Abstract: In the characteristic triangle, for a hyperbolic equation of the second kind we study a nonlocal problem when boundary condition contains a linear combination of operators of fractional Riemann–Liouville integro-differentition. We establish intervals of change of orders of operators of fractional integro-differentiation associated with the parameters of the equation for which the problem is either uniquely solvable or has more than one solution.
Keywords: operators of fractional integro-differentiation, Volterra integral equation of the second kind, method of successive approximations.
Received: 27.02.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 9, Pages 46–52
DOI: https://doi.org/10.3103/S1066369X1609005X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “On the solvability of nonlocal problem for a hyperbolic equation of the second kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 9, 51–58; Russian Math. (Iz. VUZ), 60:9 (2016), 46–52
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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