By I. Kiguradze, T.A. Chanturia
This quantity presents a accomplished evaluation of the advancements that have taken position over the past thirty years about the asymptotic homes of recommendations of nonautonomous usual differential equations. The stipulations of oscillation of options are demonstrated, and a few normal theorems at the type of equations based on their oscillatory homes are proved. In addition, the stipulations are stumbled on lower than which nonlinear equations do no longer have singular, right, oscillatory and monotone suggestions. The ebook has 5 chapters: bankruptcy I bargains with linear differential equations; bankruptcy II with quasilinear equations; bankruptcy III with common nonlinear differential equations; and bankruptcy IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler kind. every one part comprises difficulties, together with a few which almost immediately stay unsolved. the amount concludes with an intensive checklist of references. For researchers and graduate scholars drawn to the qualitative thought of differential equations.
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Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations (Mathematics and its Applications) by I. Kiguradze, T.A. Chanturia