Periodic solutions for damped differential equations with a weak repulsive singularity
β 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.
π SIMILAR VOLUMES
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
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
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