Ancient Greek religion was essentially local.

Although we tend to associate a single set of attributes and responsibilities with each Olympian god, there was actually tremendous variety in the way Apollo (and every other god) was conceived and worshiped. This variety may reflect the historical evolution of ancient Greek religion, in which many local Apollos were gradually assimilated to a Panhellenic, Homeric conception of the god.

In any case, Lykeios is one of Apollo's many epithets, the titles under which he was worshiped. Apollo Lykeios had different associations in different parts of Greece. In Athens, he was closely linked with warfare; in Argos, with political power. Almost everywhere, however, some local myth connected Apollo Lykeios with wolves. Some of these are listed in Smith's Dictionary of Greek and Roman Antiquities:

"The descendants of Deucalion, who founded Lycoreia, followed a wolf's roar; Latona came to Delos as a she-wolf, and she was conducted by wolves to the river Xanthus; wolves protected the treasures of Apollo; and near the great altar at Delphi there stood an iron wolf with inscriptions. (Paus. x. 14. § 4.) The attack of a wolf upon a herd of cattle occasioned the worship of Apollo Lyceius at Argos (Plut. Pyrrh. 32; comp. Schol. ad Apollon. Rhod. ii. 124); and the Sicyonians are said to have been taught by Apollo in what manner they should get rid of wolves. (Paus. ii. 19. § 3.)"