𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the existence of eventually positive solutions of fourth-order quasilinear differential equations

✍ Scribed by Manabu Naito; Fentao Wu


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
219 KB
Volume
57
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


The fourth-order quasilinear di erential equation

is considered under the assumptions that ¿ 0, ÿ ¿ 0 and q(t) is a positive continuous function on an interval [a; ∞), a ¿ 0, and the necessary and su cient integral conditions for the existence of eventually positive solutions of (1.1) are established.


πŸ“œ SIMILAR VOLUMES


Existence and asymptotic behavior of pos
✍ Manabu Naito πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 216 KB

## Abstract The existence of non‐extreme positive solutions of __n__ th‐order quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of non‐extreme positive solutions are established for a certain class of equations. B

Existence of positive solutions for seco
✍ F.H. Wong; S.P. Wang; T.G. Chen πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 253 KB

We afford a existence criterion of positive solutions of a boundary value problem concerning a second order functional differential equation by using the Krasnoselskii fixed point theorem on cones in Banach spaces. Moreover, we also apply our results to establish several existence theorems of multip

Existence of positive solution for nonli
✍ Ruyun Ma; Youji Xu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 285 KB

Let T be an integer with T β‰₯ 5 and let T 2 = {2, 3, . . . , T }. We show the existence and multiplicity of positive solutions of the boundary value problem of nonlinear fourth-order difference equation

On the existence of positive periodic so
✍ Xiong Li; Ziheng Zhang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 117 KB

## Abstract In this paper, we establish several criteria for the existence, multiplicity, nonexistence of positive periodic solutions of the following system by combining some new properties of Green's function together with Krasnosel'skΔ­ fixed point theorem on the compression and expression of co