Existence and asymptotic behavior of intermediate type of positive solutions of fourth-order nonlinear differential equations

Katarina Stefan Kostadinov, Jelena Manojlovic


Under the assumptions that p and q are regularly
varying functions satisfying condition


existence and asymptotic form of regularly varying intermediate solutions are studied for a fourth-order quasilinear differential equation


It is shown that the asymptotic behavior of all such solutions is governed by a unique explicit law.


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