๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of a class of ergodic solutions implies exponential trichotomy

โœ Scribed by Jialin Hong; R. Obaya; A. Sanz

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
12
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this note we prove that the property of exponential trichotomy is necessary for the presence of ergodic solutions of linear differential and difference equations with ergodic perturbations.

๐Ÿ“œ SIMILAR VOLUMES

Exponential trichotomy and a class of er
Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations
โœ Jialin Hong; R. Obaya; A.S. Gil ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 342 KB

The existence of a class of ergodic solutions of some differential equations is investigated by using exponential trichotomy. An application to the Hill equation with ergodic forcing function is given. (~) 1998 Elsevier Science Ltd. All rights reserved.

Existence implies uniqueness for a class
Existence implies uniqueness for a class of singular anisotropic elliptic boundary value problems
โœ Florica ลžt. Cรฎrstea; Vicenลฃiu D. Radulescu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 89 KB ๐Ÿ‘ 1 views

## Abstract We consider a singular anisotropic quasilinear problem with Dirichlet boundary condition and we establish two sufficient conditions for the uniqueness of the solution, provided such a solution exists. The proofs use elementary tools and they are based on a general comparison lemma combi

Asymptotic trichotomy for positive solut
Asymptotic trichotomy for positive solutions of a class of odd order nonlinear neutral difference equations
โœ Wan Tong Li; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.