Abstract
The existence and uniqueness of strong solution of many-point boundary-value problems for some differential-operational equations and its continuous dependence on the coefficients are investigated. The tool employed in our analysis is the method of an energy inequality.
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A. S. Akhmed andN. I. Yurchuk, Differents,Uravn,21 No. 3 (1985), 417–425.
A. S. Akhmed andN. I. Yurchuk, Differents,Uravn,21 No. 3 (1985), 806–815.
V. I. Chesalin, Differents,Uravn,13 No. 3 (1977), 468–476.
Yu. A. Dubinskii,Dokl, Akad, Nauk SSSR 187 No. 5 (1969), 982–985.
Yu. A. Dubinskii,Dokl, Akad, Nauk SSSR 196 No. 1 (1971), 32–34.
Yu. D. Lando, Differents,Uravn,4, No. 6 (1968), 1112–1126.
V. K. Romanko, Differents,Uravn,3 No. 11, (1967), 1957–1970.
V. K. Romanko,Dokl. Akad. Nauk. SSSR 227 No. 4, (1976), 812–815.
V. K. Romanko, Differents,Uravn,13, No. 2, (1977), 324–335.
V. K. Romanko, Differents,Uravn,14, No. 6, (1978), 1081–1092.
I. V. Parkhimovich, Linear many-points, Candidate's Thesis,Physicomathematical Sciences (in Russian), Minsk (1973).
N. I. Yurchuk, Differents,Uravn,12 No. 4 (1976), 729–739.
N. I. Yurchuk, Differents,Uravn,12 No. 9 (1976), 1645–1661.
N. I. Yurchuk, Differents,Uravn,13, No. 4 (1977), 626–636.
N. I. Yurchuk, Differents,Uravn,14 No. 5 (1978), 859–870.
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Abdo, T.A. Many-point boundary-value problem for some differential-operational equations. Period Math Hung 28, 251–265 (1994). https://doi.org/10.1007/BF01876345
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DOI: https://doi.org/10.1007/BF01876345