Existence of solutions to nonlinear problems with three-point boundary conditions
Date
2017-01-30
Authors
Dallos Santos, Dionicio Pastor
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Using Leray-Schauder degree theory and the method of upper and lower solutions, we obtain a solution for nonlinear boundary-value problem
(ϕ(u′))′ = ƒ(t, u, u′)
l(u, u′) = 0,
where l(u, u′) = 0 denotes the three-point boundary conditions on [0, T], and ϕ is a homeomorphism such that ϕ(0) = 0.
Description
Keywords
Boundary value problems, Schauder fixed point theorem, Leray-Schauder degree, Lower and upper solutions
Citation
Dallos Santos, D. P. (2017). Existence of solutions to nonlinear problems with three-point boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(35), pp. 1-10.
Rights
Attribution 4.0 International