Vol.3, No 12, 2002 pp. 383-391
UDC 517.951:531
VALIDITY OF LIU'S SYSTEMATIC METHOD
ON VARIATIONAL PRINCIPLES
Ji-Huan He
Shanghai University, Shanghai Institute of Applied Mathematics and
Mechanics
149 Yanchang Road, Shanghai 200072, China
E-mail: jjhe@mail.shu.edu.cn
Fax: 86-21-36033287
Serious deflects are found in Liu's systematic method on variational principle
(Acta Mech. 140, 2000,73-89), and the invalidity of Liu's method is illustrated
by some examples. The necessary condition of the validity of Liu's method
is first pointed out. The deflects can be completely eliminated by a reliable
modification.
Key words: inverse problem of calculus of variations.
VALJANOST LIU-OVOG SISTEMATSKOG METODA
VARIJACIONOG PRINCIPA
Ozbiljni nedostaci su nadjeni u Liu-ovoj sistematskoj metodi varijacionog
principa, a to da Liu-ova metoda ne valja ilustrovano je nekim primerima.
Neophodni uslovi valjanosti Liu-ove metode su istaknuti. Nedostaci mogu
da budu eliminasni pouzdanim modifikacijama.
