The specification still needs clarification.
O.P: "... at specific (adjustable) input voltage output ..."
*AT* a voltage isn't practically achievable. You'd need to implement it as:
'. .. when input voltage crosses a specific (adjustable) threshold, output ...'
You'd also need to specify if the pulse is to be generated when the input is rising, or falling, or both, when it crosses the threshold, which would require different trigger arrangements for Zero999's proposed monostable.