Quasi-linear functional differential equations with Property A
Copyright policy )Quasi-linear functional differential equations with Property A
AbstractWe study oscillatory properties of solutions of a functional differential equation of the form(0.1)u(n)(t)+F(u)(t)=0, where n⩾2 and F:C(R+;R)→Lloc(R+;R) is a continuous mapping. Sufficient conditions are established for this equation to have the so-called Property A. The obtained results are also new for the generalized Emden–Fowler type ordinary differential equation. The method by which the oscillatory properties of Eq. (0.1) are established enables one to obtain optimal conditions for (0.1) to have Property A for sufficiently general equations (for some classes of functions the obtained sufficient conditions are necessary as well).
Property A, Applied Mathematics, Functional differential equations, Analysis
Property A, Applied Mathematics, Functional differential equations, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!