The Number of Solutions of a Nonlinear Two Point Boundary Value Problem
Reads0
Chats0
About:
This article is published in Indiana University Mathematics Journal.The article was published on 1970-01-01 and is currently open access. It has received 192 citations till now. The article focuses on the topics: Boundary value problem & Mixed boundary condition.read more
Citations
More filters
Journal ArticleDOI
Bifurcation, perturbation of simple eigenvalues, itand linearized stability
TL;DR: In this article, the eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeros of the operator.
Journal ArticleDOI
S-shaped bifurcation curves
Journal ArticleDOI
Positive solutions of convex nonlinear eigenvalue problems
James P. Keener,H. B. Keller +1 more
Journal ArticleDOI
Non-negative solutions for a class of non-positone problems
TL;DR: In this paper, the authors consider the impact of concavity and convexity on non-negative boundary value boundary value problems when f(0) < 0 and find that f(u) needs to be convex to guarantee uniqueness of positive solutions, and concave to be appropriately concave for multiple positive solutions.
References
More filters
Some Positone Problems Suggested by Nonlinear Heat Generation
TL;DR: In this article, a class of non-linear eigenvalue boundary value problems with positive linear differential operators and monotone functions of the dependent variable is studied, and a particular class of them are examined.
Journal ArticleDOI
On the Solution of the Poisson‐Boltzmann Equation with Application to the Theory of Thermal Explosions
TL;DR: In this paper, it is shown that the critical condition of inflammability requires the solution of the nonlinear Poisson Boltzmann differential equation for a reaction vessel of cylindrical or spherical shape.
Journal ArticleDOI
On the positive solutions of boundary-value problems for a class of nonlinear differential equations☆
Journal ArticleDOI
Non-linear heat generation and stability of the temperature distribution in conducting solids
TL;DR: In this article, the effect of non-linear dependence of resistance on temperature on the Joulean production of heat in electrically conducting systems is investigated and compared with well-known linear theories.
Journal ArticleDOI