caa a22 4500 477077013 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01064171 doi (NATIONALLICENCE)springer-10.1007/BF01064171 Complete separability of time-dependent second-order ordinary differential equations [Elektronische Daten] [F. Cantrijn, W. Sarlet, A. Vandecasteele, E. Martínez] Extending previous work on the geometric characterization of separability in the autonomous case, necessary and sufficient conditions are established for the complete separability of a system of time-dependent second-order ordinary differential equations. In deriving this result, extensive use is made of the theory of derivations of scalar and vector-valued forms along the projection π:J 1 E→E of the first jet bundle of a fibre bundleE → ℝ. Two illustrative examples are discussed, which fully demonstrate all aspects of the constructive nature of the theory. Kluwer Academic Publishers, 1996 separability nationallicence time-dependent second-order equations nationallicence derivations nationallicence forms along a map nationallicence Cantrijn F. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut Sarlet W. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut Vandecasteele A. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut Martínez E. Departamento de Matemática Aplicada, Universidad de Zaragoza, E-50009, Zaragoza, Spain aut Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 42/3(1996-03-01), 309-334 0167-8019 42:3<309 1996 42 10440 https://doi.org/10.1007/BF01064171 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01064171 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cantrijn F. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut NATIONALLICENCE 700 1- Sarlet W. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut NATIONALLICENCE 700 1- Vandecasteele A. Theoretical Mechanics Division, University of Gent, Krijgslaan 281, B-9000, Gent, Belgium aut NATIONALLICENCE 700 1- Martínez E. Departamento de Matemática Aplicada, Universidad de Zaragoza, E-50009, Zaragoza, Spain aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 42/3(1996-03-01), 309-334 0167-8019 42:3<309 1996 42 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer