𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Higher order non-resonance for differential equations with singularities

✍ Scribed by Ping Yan; Meirong Zhang


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
91 KB
Volume
26
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

In this paper we prove an existence result of positive periodic solutions to second order differential equations with certain strong repulsive singularities near the origin and with some semilinear growth near infinity. Different from the nonsingular case, the result in this paper shows that both of the periodic and the antiperiodic eigenvalues play the same role in such an existence result. Copyright Β© 2003 John Wiley & Sons, Ltd.


πŸ“œ SIMILAR VOLUMES


A Comparison Theorem for Higher Order El
✍ Lynne C. Wright πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 173 KB

## Abstract Utilizing the quadratic functional criteria and positive functionals, the author develops a comparison theorem for oscillation of partial differential equations. This result parallels a comparison of the oscillation of scalar ordinary differential equations to oscillation of vector‐matr

Periodic Solutions for 2kth Order Ordina
✍ Li Weiguo πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 87 KB

In this paper, a non-variational version of a max-min principle is extended, and some unique existence results are obtained for the periodic boundary value problem of the higher order ordinary differential equations under a resonant condition.

Differential Equations of Order Two with
✍ Raimundas Vidunas πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 463 KB

The goal of this paper is to describe the set of polynomials r ∈ C[x] such that the linear differential equation y = ry has Liouvillian solutions, where C is an algebraically closed field of characteristic 0. It is known that the differential equation has Liouvillian solutions only if the degree of

Oscillations of Higher Order Neutral Dif
✍ Q. Chuanxi; G. Ladas πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 361 KB

We obtain suffiaient conditions for the oscillation of all solutions of the higher order neutral differential equation -[?At) + P(t) YO -.)I + a t ) Y(t -0 ) = 0, t h to where Our results extend and improve several known results in the literature.