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Regarding the thermal comfort and even if occupants were globally satisfied, overheating and under-heating were observed.
The sociological study showed that the tenants were globally satisfied with their flat as far as the thermal aspects are concerned.
In the sequel, without loss of generality, we can assume that these definitions are globally satisfied.
Second, we test whether the cost function is concave at the sample means and at each observation when using the LL or TL model because the concavity condition is not globally satisfied.
We conclude the paper with an example where conditions (I - IV) also hold (I - IVticulalso(III) for tholdunctinn ψ 1 defined above) but the inequality | K ( s, x ) − K ( s, y ) | ≤ ψ 1 ( | x − y | ) is not globally satisfied.
Remark 5 In Example 4 above, the inequality | K ( s, x ) − K ( s, y ) | ≤ ψ ( | x − y | ) is not globally satisfied, i.e., there exist s, x ∈ [ 0, 1 ] and y ∈ R + such that | K ( s, x ) − K ( s, y ) | > ψ ( | x − y | ).
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G: A property will Globally be satisfied in the future of a path.
end{aligned} (10) As a result, the origin is exponentially stable, so that all hypotheses are satisfied globally, the above inequality would hold for all values of (x(t_{0} in R^{n}).
In this work, we always assume that the drift and diffusion functions satisfy globally Lipschitz conditions (cf. (3.1)), which excludes many important model equations in applications.
Some extensions to biological problems where the drift term is not globally Lipschitz but satisfies the monotone growth condition (Equation 20) were studied in [67].
Assume that the functions (f(x)) and (g(x)) in (2.1) have continuously bounded derivatives up to the required order for the following analysis, and the coefficient functions in Itô-Taylor expansions (up to a sufficient order) are globally Lipschitz and satisfy the linear growth conditions.
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