Higher order non‐resonance for differential equations with singularities

By P. Yan, Meirong Zhang. 2003

52 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Multiplicity of positive periodic solutions to superlinear repulsive singular equations (2005, unknown): “It is proved in [22] that the periodic and anti-periodic eigenvalues play the same role in these existence results, which reveal some phenomenon different from the regular case.”
Periodic Solutions of Equations of Emarkov-Pinney Type (2006, methodology): “After establishing a relation between the Hill’s equations and the Emarkov-Pinney equations, we are able to use degree theory to remove a technical assumption in [ 14 ], and give a complete set of non-resonance conditions for differential equations with repulsive singularities.”
Chapter 7 Singularities and Laplacians in Boundary Value Problems for Nonlinear Ordinary Differential Equations (2006, background): “Recently, Yan and Zhang [160] (2003) proved an existence result assuming that the nonlinearity grows semilinearly as x →∞ and fulfil a certain higher-order non-resonance condition in terms of the periodic and antiperiodic eigenvalues.”