If you describe something as unending, you mean that it continues without stopping for a very long time. the country's seemingly unending cycle of political violence. = endless. something, especially something bad, that is unending seems as if it will continue for ever
continuing forever or indefinitely; "the ageless themes of love and revenge"; "eternal truths"; "life everlasting"; "hell's perpetual fires"; "the unending bliss of heaven"
endlessly: with unflagging resolve; "dance inspires him ceaselessly to strive higher and higher toward the shining pinnacle of perfection that is the goal of every artiste"