caa a22 4500 477073913 CHVBK 20180405111434.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02259778 doi (NATIONALLICENCE)springer-10.1007/BF02259778 Ashordia M. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Alexidze St., 380093, Tbilisi, Republic of Georgia aut On the correctness of nonlinear boundary value problems for systems of generalized ordinary differential equations [Elektronische Daten] [M. Ashordia] The concept of a strongly isolated solution of the nonlinear boundary value problem $$dx(t) = dA(t) \cdot f(t,x(t)),h(x) = 0,$$ is introduced, whereA: [a, b]→R n×n is a matrix-function of bounded variation,f: [a, b]×R n →R n is a vector-function belonging to a Carathéodory class, andh a continuous operator from the space ofn-dimensional vector-functions of bounded variation intoR n . It is stated that the problems with strongly isolated solutions are correct. Sufficient conditions for the correctness of these problems are given. Plenum Publishing Corporation, 1996 Strongly isolated solution nationallicence correct problem nationallicence Carathéodory class nationallicence Opial condition nationallicence Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/5(1996-09-01), 501-524 1072-947X 3:5<501 1996 3 11290 https://doi.org/10.1007/BF02259778 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02259778 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ashordia M. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Alexidze St., 380093, Tbilisi, Republic of Georgia aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/5(1996-09-01), 501-524 1072-947X 3:5<501 1996 3 11290 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 37822977X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer