Reversed S-Shaped Bifurcation Curve for a Neumann Problem
نویسندگان
چکیده
منابع مشابه
On the Exactness of an S-Shaped Bifurcation Curve
For a class of two-point boundary value problems we prove exactness of S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like e for a > 0.
متن کاملOn the Exactness of an S - Shaped Bifurcation Curve 10132
For a class of two-point boundary value problems we prove exact-ness of an S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like e au=(u+a) for a > 0. 1. Introduction We consider positive solutions of u 00 + f(u) = 0 on (?1; 1); u(?1) = u(1) = 0: (1.1) Here is a positive parameter, and we wish to describe all solutions of (1.1) fo...
متن کاملA Double S-Shaped Bifurcation Curve for a Reaction-Diffusion Model with Nonlinear Boundary Conditions
We study the positive solutions to boundary value problems of the form −Δu λf u ; Ω, α x, u ∂u/∂η 1 − α x, u u 0; ∂Ω, where Ω is a bounded domain in R with n ≥ 1, Δ is the Laplace operator, λ is a positive parameter, f : 0,∞ → 0,∞ is a continuous function which is sublinear at ∞, ∂u/∂η is the outward normal derivative, and α x, u : Ω×R → 0, 1 is a smooth function nondecreasing in u. In particul...
متن کاملExact multiplicity of solutions and S-shaped bifurcation curve for a class of semilinear elliptic equations
The set of steady state solutions to a reaction–diffusion equation modeling an autocatalytic chemical reaction is completely determined, when the reactor has spherical geometry, and the spatial dimension is n= 1 or 2 for any reaction order, or n 3 for subcritical reaction order. Bifurcation approach and analysis of linearized problems are used to establish exact multiplicity and precise global ...
متن کاملA Boundary Meshless Method for Neumann Problem
Boundary integral equations (BIE) are reformulations of boundary value problems for partial differential equations. There is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. In this paper, the Neumann problem is reformulated to a BIE, and then moving least squares as a meshless method is describe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2018
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2018/5376075