other papers such as describe the way that lyapunov's contributions to the stability of motion has influenced the development of the subject over a long period of time.

How would the previous sentence be correctly capitalized?
Answer: Other papers such as describe the way that Lyapunov's contributions to the stability of motion has influenced the development of the subject over a long period of time.
swivel caster with brake, Ø 100mm, vulcanized elastic rubber tires, 150kg

How would the previous sentence be correctly capitalized?
Answer: Swivel caster with brake, Ø 100mm, Vulcanized elastic rubber tires, 150KG
thus, technically satisfying alternatives to chlorinated lubricants in heavy-duty metal forming may exist. however, they involve substantial costs due to large investments in production equipment.

How would the previous sentence be correctly capitalized?
Answer: Thus, technically satisfying alternatives to chlorinated lubricants in heavy-duty metal forming may exist. However, they involve substantial costs due to large investments in production equipment.
if your pc opens the amff file, but it's the wrong application, you'll need to change your windows registry file association settings. in other words, windows is associating amff file extensions with the wrong software program.

How would the previous sentence be correctly capitalized?
Answer: If your PC opens the AMFF file, but it's the wrong application, you'll need to change your Windows registry file association settings. In other words, Windows is associating AMFF file extensions with the wrong software program.