Existence of solutions to nonlinear problems with three-point boundary conditions
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.
Citation
Dallos Santos, D. P. (2017). Existence of solutions to nonlinear problems with three-point boundary conditions. Electronic Journal of Differential Equations, 2017(35), pp. 1-10.Rights License
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