Kōdai Fujimoto, Masaki Hamaoka, Tomoyuki Tanigawa
abstract:
This paper deals with the nonoscillatory (eventually positive) solutions of
second order quasilinear differential equations with variable exponents of
nonlinearity. We classify the set of all positive solutions into three disjoint
classes according to their asymptotic behavior at infinity, and obtain criteria
for the existence of solutions belonging to each of those classes.
Mathematics Subject Classification: 34C11
Key words and phrases: Asymptotic behavior, nonoscillatory solutions, quasilinear equations, variable exponents