Properties of Kneser’s solution for half-linear third order neutral differential equations
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DOI: 10.1007/s10474-017-0721-7
Abstract: AbstractWe examine properties of positive solutions of the third order differential equation with advanced argument in neutral term of the form $$(a(t)(b(t)(z'(t))^{\alpha})')'+q(t)y^{\alpha}(t)=0,$$(a(t)(b(t)(z′(t))α)′)′+q(t)yα(t)=0,where $${z(t)=y(t)+p(t)y(\sigma(t))}$$z(t)=y(t)+p(t)y(σ(t)) . They show that the positive solutions are in fact Kneser type… read more here.
Keywords: order; kneser solution; third order; half linear ... See more keywords