Abstract
We study the solvability of a system of second-order differential equations with Dirichlet boundary conditions and non-local terms depending upon a parameter. The main tools used are a dual variational method and the topological degree.
Highlights
In the past decade there has been a lot of interest on boundary value problems for elliptic systems
−Δv g x, u, v, ∇u, ∇v, x ∈ Ω, 1.1 u v 0, in ∂Ω, where Ω is a domain in Rn, a survey was given by De Figueiredo in 1
Systems of two equations that include non-local terms have been considered recently. These are of importance because they appear in the applied sciences, for example, as models for ignition of a compressible gas, or general physical phenomena where temperature has a central role in triggering a reaction
Summary
In the past decade there has been a lot of interest on boundary value problems for elliptic systems. Systems of two equations that include non-local terms have been considered recently. These are of importance because they appear in the applied sciences, for example, as models for ignition of a compressible gas, or general physical phenomena where temperature has a central role in triggering a reaction. Their interest ranges from physics and engineering to population dynamics. In this paper we are interested in a simple one-dimensional model: the two-point boundary value problem for the system of second order differential equations with a linear integral term. This will be done on the basis of some spectral analysis for the linear part and a dual variational setting
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
