ISSN 1439-8516 CN 11-2039/O1
+Gx(x,t)-p(t),where G(x, t) ∈ C1(R2) with 1-periodicity in x satisfies the conditions: sup(x,t)∈R2 |Gx(x,t)| < +∞ and lim supt→∞{supx∈R |Gx(x,t)/t|}=0, possesses infinitely many unbounded solutions on a cylinder S1×R for any almost periodic function p(t) with nonvanishing mean value.
of cobordism classes in MOn containing a representative Mn admitting a (Z2)k -action with the fixed point set of (n-l#em/em# )-dimensional submanifolds of Mn .
) with 〈〉 and surjective. For a factorisable semigroup S, we denote ζS = {(s1, s2) ∈S×S|ss1 = ss2, ∀s∈S}, S' = S/ζS and US-FAct = {S M∈S-Act |SM = M and SHomS (S, M) ≌M}. We show that, for factorisable semigroups S and M, the categories US-FAct and UR-FAct are equivalent if and only if the semigroups S' and R' are strongly Morita equivalent. Some conditions for a factorisable semigroups to be strongly Morita equivalent to a sandwich semigroup, local units semigroup, monoid and group separately are also given. Moreover, we show that a semigroup S is completely simple if and only if S is strongly Morita equivalent to a group and for any index set I, S⊗SHomS (S, Цi∈I S) →Цi∈I S, s⊗t·f →(st)f is an S-isomorphism.
