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References
A. A. Dezin, General Questions of the Theory of Boundary Value Problems [in Russian], Nauka, Moscow (1980).
V. K. Romanko, “On use of the general operational calculus in the theory of boundary value problems,” Dokl. Akad. Nauk SSSR,238, No. 5, 1059–1062 (1978).
B. I. Ptashnik, Ill-Posed Boundary Value Problems for Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1984).
I. V. Mel'nikova, Well-Posed and Ill-Posed Problems for Operator-Differential Equations in Banach Spaces [in Russian], Dis. Dokt. Fiz.-Mat. Nauk, Novosibirsk (1988).
A. G. Kudryavtsev, “Boundary value problems for the equations of arbitrary order in Banach space,” submitted to VINITI on October 10, 1985, No. 8071-B85.
S. G. Krein, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).
S. P. Shishatskii, “Well-posedness of boundary value problems for a second-order differential equation with a nonnegative selfadjoint operator in Hilbert space,” Funktsional. Anal. i Prilozhen.,2, No. 2, 81–85 (1968).
M. M. Lavrent'ev, “On the Cauchy problem for the Laplace equation,” Izv. Akad. Nauk SSSR Mat.,20, 819–842 (1956).
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Translated from Sibirskii Matematicheskii, Vol. 37, No. 6, pp. 1397–1406, November–December, 1996.
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Fayazov, K.S. Boundary value problems for a second-order differential equation with selfadjoint operator coefficients. Sib Math J 37, 1228–1236 (1996). https://doi.org/10.1007/BF02106747
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DOI: https://doi.org/10.1007/BF02106747