𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic solutions for damped differential equations with a weak repulsive singularity

✍ Scribed by Xiong Li; Ziheng Zhang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
379 KB
Volume
70
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Periodic solutions of the second-order d
✍ Zaihong Wang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 231 KB

In this paper, we deal with the existence of periodic solutions of the second-order di erential equations x + g(x) = p(t) with singularity near origin. By using the phase-plane analysis methods, we prove that the given equation has at least one periodic solution when g(x) exhibits semilinear conditi

Positive solutions to superlinear semipo
✍ Lin Xiaoning; Li Xiaoyue; Jiang Daqing πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 409 KB

This paper is devoted to study the existence of positive solutions to the second-order semipositone periodic boundary value problem x'+ a(t)x = f(t,x), x(O) = x(1), xt(0) = xt(1). Here, f(t, x) may be singular at x = 0 and may be superlinear at x = +cΒ’. Our analysis relies on a fixed-point theorem

Periodic Solutions of LiΓ©nard Equations
✍ Meirong Zhang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 173 KB

In this paper we will use the coincidence degree to give an existence result of periodic solutions for the scalar Lienard equations with singular forces of repulsive type. The main result of this paper clearly describes what balance conditions between the singular force at the singularity and at th