Work

On second-order boundary value problems in Banach spaces: a bound sets approach

Year: 2011

Type: article

Abstract: The existence and localization of strong (Carathéodory) solutions\nis obtained for a second-order Floquet problem in a Banach space.\nThe combination of applied degree arguments and bounding (Liapunov-like)\nfunctions allows some solutions to escape from a given set. The problems\nconcern both semilinear differential equations and inclusions. The main\ntheorem for upper-Carathéodory inclusions is separately improved\nfor Marchaud inclusions (i.e. for globally upper semicontinuous\nright-hand sides) in the form of corollary. Three illustrative examples\nare supplied.

Source: Project Euclid (Cornell University)

Authors: Ján Andres, Luisa Malaguti, Martina Pavlačková

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2581237386

FWCI: 1.34

Cites:

Cited by: 11

Related to: 10