We assert there exists B > 0 such that every possible periodic solution u ( t ) of (19) satisfies ∥ u ∥ ≤ B. If not, there exists λ k → λ 0 and the solution u k ( t ) with ∥ u k ∥ → ∞ ( k → ∞ ).
An utterance of (9) asserts that there exists a possible world in which Jacques Chirac is a member of the Socialist party, which he in fact is not.
Condition (i) asserts that there exists a convergent subsequence ({ delta_{n_{i}}}) of ({delta_{n}}) such that (lim_{i toinfty}delta_{n_{i}}<1).
Since (X_{k,M} t,u -overline {X}_{k,u -overline almost surely bounded for large M and K on every compact subset of (mathbb {X}_{kkslash M} tbb {R}_),uMontel's theorem asserts that there exists almosterging surelyuence, which converges to an analytic function.
Neuro-immunological research asserts that there exists a bidirectional relationship between sleep deprivation and the immune system.
The classical form of Iversen's theorem asserts that if is an entire holomorphic function of the plane, then there exists a curve tending to infinity such that (6.4).
Professor Ledenyov, of the Moscow Conservatory, the oldest composer present, serenely maintained the old Soviet line, asserting that "there exists a Russian school of composers" characterized by "a conglomerate of certain features peculiar to this national culture and its folk music".
(7) We assert that there exists a positive constant (r_{1}) such that (I_{1} ( r_{1} ) >0).
For ρ ∈ U T and with condition (A4), the assumptions of Lemma 3.3 are fulfilled, and we can assert that there exists a unique X ∈ E 1 ( R 2 ), which is a solution of (4.7).
We assert that there exists a positive constant M such that begin{aligned}& uleq M delta)+bar{u}_{varepsilon},quad xin Omega_{rho}^, end{aligned} (4.3) begin{aligned}& underline{u}_{varepsilon}leq u+M delta),quad xinOmega_{rho}^.
