If the variable is declared then:

if (myvar === false) {

will work fine. === won't consider false to be undefined.

If it is undefined and undeclared then you should check its type before trying to use it (otherwise you will get a reference error).

if(typeof myvar === 'boolean' && myvar === false) {

That said, you should ensure that the variable is always declared if you plan to try to use it.

var myvar;

// ...

// some code that may or may not assign a value to myvar

// ...

if (myvar === false) {