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Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments. (English) Zbl 1189.34121
Summary: Sharp conditions are established for the existence of a pair of regularly varying solutions with nonzero indices of half-linear functional differential equations of the type $$(|x'(t)|^{\alpha}\text{sgn }x'(t))'=q(t)|x(g(t))|^{\alpha}\text{sgn }x(g(t)),~\alpha>0,~g(t)>0,~g(t)<t.$$

##### MSC:
 34K05 General theory of functional-differential equations
Full Text:
##### References:
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