Asymptotic analysis of solutions of second order quasilinear differential equations with variable exponents of nonlinearity
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS(2023)
摘要
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.
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关键词
Asymptotic behavior,nonoscillatory solutions,quasilinear equations,variable exponents
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