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Incorrect watering, including a lack of regular watering or repeatedly allowing the soil to dry out completely between waterings, can lead to
leaf tip and margin burning. Too little water can also cause stunted growth and
leaf yellowing and drop.
Brown Leaves on a Cordyline | Home Guides | SF Gate
https://homeguides.sfgate.com/brown-leaves-cordyline-68680.html
Here something from RHS
Problems
Cordyline plants can develop spots on their leaves, often in response to physical damage or stress such as exposure to cold wind, hail and winter wet.
Wet and cold weather in winter, and drought and heat stress in summer, can lead to poor growth, yellowing and browning of the foliage or excess leaf drop. Improve the growing conditions and provide winter protection.
Winter damage can also cause dieback of the crown. To avoid this, provide winter protection. Where it has happened, remove the affected growth. The plants usually regenerate from the bare stems or produce suckers at the base.
Damage to the bark following a hard winter can also be associated with an infection known as
cordyline slime flux.