The phrase "influence strongly" is correct and usable in written English.
You can use this phrase to explain how something affects something else in a powerful manner. For example, "Her words of wisdom greatly influenced my decision to pursue a career in medicine."
Cipriano de Rore, another Netherlander adopted by Italy, felt Willaert's influence strongly yet contrived to set new standards in the interpretation of poetry through music and also to encourage an artistic fusion of the contrapuntal and homophonic styles, using them alternately in one and the same composition according to the dictates of the poem.
The numerical experiment shows that topography data influence strongly on the location of erosion and deposition.
In general, magnetic interactions between neighboring metal wires influence strongly the coercive fields and the remanence.
Coupling of electrons to intra-site molecular vibrations is shown to influence strongly the nonlinear response.
The association effects have proven to influence strongly the liquid liquid equilibrium.
Experimental results demonstrated that relative humidity (RH) conditions influence strongly the damage level and damage mechanisms.
Mr. Polidori said he was influenced strongly by a book, "The Art of Memory," by Frances A. Yates, which discusses mnemonic systems in antiquity.
The researchers explained that while greenhouse gases impacted mostly in the winter, during summer and spring months the SAM was influenced strongly by depletions in the ozone layer.
The climate of the Everglades is tropical to subtropical and is influenced strongly by the southeast trade winds.
On the surface of and within intertidal sediments most animal activities are influenced strongly by the state of the tide.
Root morphology influences strongly plant/soil interactions.
