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The phrase "admits a solution" is correct and usable in written English.
It can be used in contexts where you are discussing whether a problem or equation has a solution or not.
Example: "The mathematical equation admits a solution under certain conditions."
Alternatives: "allows for a solution" or "has a solution".
Exact(60)
Then problem (1.1) admits a solution.
Then generalized vector variational inequality (1) admits a solution.
Then the generalized vector variational inequality (1) admits a solution.
Then the problem (1.1 - 1.2 1.1 - 1.2 solution sadmitsing (2.5).
Hence the generalized vector variational inequality (1) admits a solution.
Under F1 the dynamical inclusion (3.1) admits a solution.
Conditions for the constraints for which the problem admits a solution are given.
So, for every (c,din [-K,K]), problem (D) admits a solution.
If A is weak to (|cdot| -sequentially continuous, then (2) admits a solution.
Then (2.4) admits a solution for all (xin mathbb{R}), (t>0).
Equation (20) admits a solution y, which is an element of (mathcal{V}^{p}([a b])).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com