Infinite semipositone problems with a falling zero and nonlinear boundary conditions
Date
2018-11-27
Authors
Mallick, Mohan
Sankar, Lakshmi
Shivaji, Ratnasingham
Sundar, Subbiah
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider the problem
-u″ = h(t) (αu - u2 - c/u α), t ∈ (0, 1),
u(0) = 0, u′(1) + g(u(1)) = 0,
where α > 0, c ≥ 0, α ∈ (0, 1), h:(0, 1] → (0, ∞) is a continuous function which may be singular at t = 0, but belongs to L1(0, 1) ∩ C1(0, 1), and g:([0, ∞) → [0, ∞) is a continuous function. We discuss existence, uniqueness, and non existence results for positive solutions for certain values of α, b and c.
Description
Keywords
Infinite semipostione, Exterior domain, Sub and super solutions, Nonlinear boundary conditions
Citation
Mallick, M., Sankar, L., Shivaji, R., & Sundar, S. (2018). Infinite semipositone problems with a falling zero and nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(193), pp. 1-13.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.