We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of so
โฆ LIBER โฆ
Existence of solutions to some nonlinear diffusion problems
โ Scribed by L.E Bobisud
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 480 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0022-247X
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We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 tโ 0 1 i=1 a i < 1, and m-2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.