na-adjective, noun
busy with many things; multifarious; pressure of business
Describes a state of being occupied with numerous tasks or matters, often used in formal or written contexts. Can function as a noun or adjectival noun.
年末は多端で、なかなか休めない。
The year-end is so busy with many things that I can hardly rest.
多端な毎日を送っている。
I lead a busy daily life with many tasks.
多忙 is a more common word for 'busy', while 多端 emphasizes the multiplicity of tasks or affairs.
Compound of 多 (many) and 端 (matters, items). The exact historical derivation is uncertain.