I honestly don't know. I'd always assumed that all of that happened well before I was born, but never bothered looking for any exact dates. It's just something I've always been exposed to, and have always taken the importance of falsification as a given.
A quick search turns up this[1] from Wikipedia:
"In work beginning in the 1930s, Popper gave falsifiability a renewed emphasis as a criterion of empirical statements in science."
OTOH, the entry on Popper at Plato[2] says this:
"However, in the 1970's a series of papers published by researchers such as Miller, Tichý, and Grünbaum in particular revealed fundamental defects in Popper's formal definitions of verisimilitude."
which suggest that his work had achieved enough signficance by the 1970's that other people were basing work on it (and in this case, perhaps refuting bits of it).
Miller, Tichý, and Grünbaum are philosophers. He definitely had a big influence on philosophy of science, but the question is to what extent he had an influence on science. The works of physicists before 1930 are so sophisticated that I honestly can't imagine that they didn't understand these ideas and more already. These weren't some dark ages; the Michelson-Morley experiment was done in 1887!
The idea of falsification suffers from three issues: (1) it's binary true or false (2) it's asymmetric (falsifying a theory T vs falsifying the theory not T) and (3) it's kind of vague what constitutes falsification. Bayesian incorporation of evidence into beliefs arguably gives a superior solution to the problem, and Laplace (1749 - 1827) was already fully aware of this.
I honestly don't know. I'd always assumed that all of that happened well before I was born, but never bothered looking for any exact dates. It's just something I've always been exposed to, and have always taken the importance of falsification as a given.
A quick search turns up this[1] from Wikipedia:
"In work beginning in the 1930s, Popper gave falsifiability a renewed emphasis as a criterion of empirical statements in science."
OTOH, the entry on Popper at Plato[2] says this:
"However, in the 1970's a series of papers published by researchers such as Miller, Tichý, and Grünbaum in particular revealed fundamental defects in Popper's formal definitions of verisimilitude."
which suggest that his work had achieved enough signficance by the 1970's that other people were basing work on it (and in this case, perhaps refuting bits of it).
[1]: https://en.wikipedia.org/wiki/Falsifiability
[2]: http://plato.stanford.edu/entries/popper/