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The Utah Division of Motor Vehicles Official Site

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I just moved to Utah. How do I get a Utah registration and how long do I have?

New residents to Utah are allowed 60 days to transfer titles and registrations. To do this, you will need the existing title (unless held by a lien holder as collateral in a financing agreement) and the most recent registration. See to find out if your vehicle needs a safety and/or emissions inspection.

All vehicles that are titled or registered in Utah for the first time are required to complete a Vehicle Identification Number (VIN) inspection. Form TC-661, must be completed by a DMV employee, designated contractor, peace officer, licensed dealer, or a certified safety inspector. Note that this may be completed by a DMV employee at the time of registration.

I need extra time for my inspections. How do I get a temporary permit?

A 15-day temporary permit is available when your vehicle registration has or is about to expire and extra time is needed to pass the inspections. The fee for this permit is $6.00. All registration fees must be paid at the time the permit is issued. For more information, see and .

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I recently changed addresses. How do I update the address on my registrations?

The easiest way to update your address is to usethe Motor Vehicle Portal (MVP) . You can also call the DMV at 801-297-7780 or 1-800-368-8824 or visit your local DMV office .

My registration is about to expire. Why didn’t I receive a renewal notice?

It is very common for renewal notices to not be received. Usually, this is caused by a vehicle owner changing address during the year and not updating the address on their vehicle’s registration. You may still renew your registration without the renewal notice.

Note that it is your responsibility to renew your vehicle registration on time, even if you did not receive a renewal notice.

My registration is about to expire. Do I need an emissions inspection this year?

A general rule of thumb is that vehicles with even model years are required to pass an emissions inspection in even years, and vehicles with odd model years in odd years. For complete information, however, see .

I need to apply for a refund. How do I do that?

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This website is provided for general guidance only.It does not contain all motor vehicle laws or rules.

t \multimap F(t,x) is measurable, for every x \in \mathbb{R}^{n} ,

x \multimap F(t,x) is u.s.c., for almost all (a.a.) t\in J ,

|y| \leq r(t) (1+|x|) , for every (t,x) \in J \times \mathbb{R}^{n} , and every y\in F(t,x) , where r\colon J \rightarrow [0, \infty) is a Lebesgue integrable function.

Let F \colon X \multimap Y be a multivalued mapping and f \colon X \rightarrow Y be a single-valued mapping. We say that f is a selection of F (written f \subset F ) if f(x) \in F(x) , for every x \in X .

We will employ the following definitions and statements.

(Castaing representation, cf. Theorem III.7 in [ Cotswold Womens/Ladies Windsor Short Waterproof Pull On Rain Boots Black 2sPiI

\varphi(x)=\overline{\bigl\{ f_{n}(x)\mid n \in\mathbb{N}\bigr\} }= \overline {\bigcup_{n \in\mathbb{N}} f_{n}(x)},

Lemma 3

(, , Lemma7.1 in [ UMAC High Top Wedge Sneakers For Womens AntiSlip Rubber Sole Hidden Heel Round Toe Platform Casual Shoes Black UqG5Xr6ZYT

F\colon J\times\mathbb{R}^{n} \multimap\mathbb{R}^{n} -. F(t, q(t)) , q \in C(J, \mathbb{R}^{n}) , -.

If X \subset Y and \varphi\colon X \multimap Y , then a point x \in X is called a fixed point of φ if x \in\varphi (x) . We set \operatorname{Fix} (\varphi) := \{ x \in X \mid x \in\varphi(x) \} .

Definition 1

Let and be subsets of normed linear spaces and \varphi\colon X \multimap Y be a multivalued mapping. If is convex, then is called a , provided is u.s.c. with (nonempty) compact, convex values.

Let and be metric spaces. A multivalued mapping \varphi\colon X \multimap Y is called if its image \varphi(X)= \bigcup\{\varphi(x) \mid x \in X \} is contained in a compact subset of .

The following statement, which we state in the form of proposition, is usually called the Kakutani-Ky Fan-type fixed point theorem.

Proposition 2

(, , Theorem II.8.4 in [ 21 ])

() , \varphi\colon C \multimap C . .

\Phi(t,x)=\bigcap_{\delta>0} \bigcap _{\tiny{\mu(N)=0}} \overline {\operatorname{conv}}\, \varphi\bigl(B \bigl((t,x),\delta\bigr) \backslash N\bigr)

Observe that Φ is a bounded u.s.c. mapping with (nonempty) compact and convex values.

\int_{J} P(t) \,\mathrm{d}t := \biggl\{ \int _{J} p(t) \,\mathrm{d}t \Bigm| p \subset P \mbox{ is a Lebesgue integrable selection of } P \biggr\} .
L u(t) = f(t), \quad a \leq t \leq b, a, b \in\mathbb{R},
u(a)=0, \qquad u(b)=0.

( cf. , e.g. , Theorem3.2.1 in [ 38 ])


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