caa a22 4500 463245911 CHVBK 20180405153325.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s00009-007-0110-5 doi (NATIONALLICENCE)springer-10.1007/s00009-007-0110-5 A System of Differential-Operator Equations of Different Orders in Hilbert Spaces [Elektronische Daten] [Angelo Favini, Yakov Yakubov] Abstract.: We consider an abstract Cauchy problem for a system of nonhomogeneous abstract differential equations in Hilbert spaces. The "main” equation is of the second order and "boundary” equations are of the first order. Existence of a solution is proved. Application to mixed (initial boundary-value) problems for one-dimensional second order hyperbolic equations and for fourth order PDEs with the time derivative in boundary conditions has been shown. Birkhäuser Verlag Basel/Switzerland, 2007 Abstract Cauchy problem nationallicence degenerate abstract equations nationallicence hyperbolic equations nationallicence existence nationallicence Favini Angelo Dipartimento di Matematica, Universita di Bologna, Piazza di Porta S. Donato, 5, 40126, Bologna, Italy aut Yakubov Yakov Raymond and Beverly Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel-Aviv University, 69978, Ramat-Aviv, Israel aut Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/2(2007-07-01), 163-177 1660-5446 4:2<163 2007 4 9 https://doi.org/10.1007/s00009-007-0110-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00009-007-0110-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Favini Angelo Dipartimento di Matematica, Universita di Bologna, Piazza di Porta S. Donato, 5, 40126, Bologna, Italy aut NATIONALLICENCE 700 1- Yakubov Yakov Raymond and Beverly Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel-Aviv University, 69978, Ramat-Aviv, Israel aut NATIONALLICENCE 773 0- Mediterranean Journal of Mathematics Birkhäuser-Verlag; www.birkhäuser.ch 4/2(2007-07-01), 163-177 1660-5446 4:2<163 2007 4 9 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer