Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind
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O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics (Nauka, Moscow, 1973) [in Russian].
V. A. Steklov, “The Problem of Cooling a Heterogeneous Rigid Rod,” Soobshch. Kharkovsk.Mat. Obshch. 5(3–4), 136–181 (1897).
N. L. Lazhetich, “On the Classical Solvability of the Mixed Problem for a Second-Order One-Dimensional Hyperbolic Equation,” Differents. Uravneniya 42(8), 1072–1077 (2006).
A. I. Kozhanov, “On the Solvability of Spatially Nonlocal Boundary Value Problems for Linear Parabolic Equations,” Vestnik SamGU 3(62), 165–174 (2008).
L. S. Pul’kina and A. V. Dyuzheva, “A Nonlocal Problem with Time-Variable Boundary Value Steklov Conditions for a Hyperbolic Equation,” Vestnik SamGU 4(78), 56–64 (2010).
A. I. Kozhanov and L. S. Pul’kina, “On the Solvability of Boundary Problems with Shift for Linear Hyperbolic Equations,” Matem. Zhurn. Inst. Matem. Minobr i Nauki Respubliki Kazakhstan, Almaty 2(32), 78–92 (2010).