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This grant provides state government funds to assist eligible non-state schools in meeting recurrent costs.

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The governing body of each non-state school in receipt of the recurrent grant must submit to the Minister, by 30 June each year, allowance acquittal details for the school relating to the previous calendar year. Failure of the governing body to provide acquittal details within the legislated timeframe is grounds for future payments to the school to be withheld.

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Francis Ford Coppola’s Apocalypse Now was a movie that ended up being so difficult and insane to shoot that it was given its own accompanying story, Heart of Darkness , to lay out the living hell that was the production process. The production was providing co-star Dennis Hopper with enough cocaine to keep him wired for weeks, while Martin Sheen outright told his friends, “I don’t know if I’m going to live through this.”

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(iii) We will show that the operator φ is u.s.c. In view of Lemma 2 , and since φ was shown to be compact, it is sufficient to show that the graph \Gamma_{\varphi} is closed. Let \{(q_{k}, u_{k})\} \subset\Gamma_{\varphi} be a sequence such that \{(q_{k}, q'_{k}, u_{k})\} \rightarrow(q, q', u) , where q \in Q . For all k \in\mathbb{N} and a.a. t \in J , the sequence \{u_{k}'\} is bounded and |u_{k}''(t)|\leq |p(t)|+M_{1}(D_{0})+M_{2}(D_{0})+k_{1} D_{0}+|c|+|a| k_{3}+|b| k_{2} , for a.a. t \in J . The sequence \{w_{k}:=u'_{k}\} satisfies all the assumptions of Lemma FABULICIOUS COCKTAIL502 Womens 5 Heel 1 Platform Two Band Slides Clear Cream / Clear UnBd1ZZ
.

Thus, applying Lemma Sanuk Unisex Chiba Quest Knit Sneaker Black/Grey jG4OmV
to the sequence \{w_{k}:=u'_{k}\} , we find that there exists a subsequence of \{u_{k}'\} , for the sake of simplicity denoted in the same way as the sequence, which converges uniformly to u' on J and such that \{u''_{k}\} converges weakly to u'' in L^{1}(J,\mathbb{R}) .

z_{k}'(t) \in H\bigl(t, q_{k}(t), q_{k}'(t)\bigr),\quad \mbox{for a.a. } t \in J,
\bigl(u'(t), u''(t)\bigr) \in H\bigl(t, q(t), q'(t)\bigr), \quad \mbox{for a.a. } t \in J,

The set \varphi(Q) is relatively compact and graph \Gamma_{\varphi } is closed. Therefore, the mapping φ is u.s.c., compact and, in particular, with compact values.

(iv) Finally, we will show that the mapping φ has convex values.

\begin{aligned} u_{1}(t) = \int_{0}^{T} G_{1} (t,s) f_{1,q}(s) \,\mathrm{d}s, \\ u_{2}(t) = \int_{0}^{T} G_{1} (t,s) f_{2,q}(s) \,\mathrm{d}s. \end{aligned}
f_{q}(t)=\lambda f_{1,q}(t)+(1-\lambda) f_{2,q}(t)
\begin{aligned} u(t) =\lambda u_{1}(t)+(1-\lambda) u_{2}(t) \\ = \lambda\int_{0}^{T} G_{1} (t,s) f_{1,q}(s) \,\mathrm{d}s + (1-\lambda) \int_{0}^{T} G_{1} (t,s) f_{2,q}(s) \,\mathrm{d}s \\ =\int_{0}^{T} G_{1} (t,s) \bigl[ \lambda f_{1,q}(s) + (1-\lambda) f_{2,q}(s)\bigr] \,\mathrm{d}s = \int_{0}^{T} G_{1}(t, s) f_{q}(s) \,\mathrm{d}s. \end{aligned}

After all, applying Proposition 2 , we obtain the existence of a fixed point of the multivalued mapping φ which represents a solution of problem ( FRANCO SARTO Womens Craze Boot Brown 6rtE03Wfx
). However, because of the definitions of F_{1}^{*} , F_{2}^{*} , such a solution must be a solution of problem ( 12 ) as well as ( Bigcardesigns Cute Cat Design Sneaker for Men Women Teenagers 38 VSpFS8J4jo
). □

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