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... 0then, by continuity, there exists T m •T such that I ( u;u t) ‚ 0 for all t 2 [0 ;T m) : This implies, for all t 2 [0 ;T m) J ( t ) = 1 2 ˆ 1 ¡ t R 0 g ( s ) ds! jjru ( t ) jj 2 2 + 1 2 jjru t jj 2 2 ...

Denoting by 0 P 0 P j u and j p the displacements and tractions of the fictitious system, respectively, The Somigliana identity is written [3,4] **** 0 TT T jj j Pd * *** uu ppu uf d: ...

Token t; jj_consume_token(VAR); t = jj_consume_token(IDENT); Table.enterTvar(t.image.intern()); label_3: while (true) { switch ((jj_ntk==-1)?jj ...

Calculating the derivative of V ( z ( t )) along the solution of system (4) yields ˙ V ( z ( t )) =2 z T ( t ) P ˙ z ( t ) +2 n X j =1 d j ` j ( z j ( t ))˙ z j ( t ) + £ jjz ( t ) jj 2 R ¡ (1 ¡ ˙ ...

The forced Van der Pol equation x+ u.(x 2 - l)x + x = p(t), jJ. > 0,1 p(t)1 ~ k where u and k are small parameters, is investigated in the phase plane, It is shown that ...

R m the inequality M ( u ( t )) CE 1 = 2 ( u ( t )) + C X jaj¡ 2 jj ( t + r ) 2 ¯ ¡ a u ( t ) jj L 2 (3.1) holds when the right-hand side is finite.

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37 8 2001 8 3 (14) (11) (14) (11) (14) x2 (14) (11) (11) x62 g T@H+U @x T 6=0 HU (11) 3. 3.1 (1) x (t) x ref (t) jjx (t) x ref (t) jj! 0 (t! 1) 16 x ref (1) u ref (t) _ x ref =J (x ref; t) @H @x T (x ref; t) +g (x ref ...

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