Positive solutions for a functional delay second-order three-point boundary-value problem
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Date
2006-03-26
Authors
Bai, Chuanzhi
Xu, Xinya
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We establish criteria for the existence of positive solutions to the three-point boundary-value problems expressed by second-order functional delay differential equations of the form
-x″(t) = ƒ(t, x(t), x(t - τ), xt), 0 < t < 1,
x0 = ϕ, x(1) = x(η),
where ϕ ∈ C[-τ, 0], 0 < τ < 1/4, and τ < η < 1.
Description
Keywords
Functional delay differential equation, Boundary value problem, Positive solutions, Fixed point index
Citation
Bai, C., & Xu, X. (2006). Positive solutions for a functional delay second-order three-point boundary-value problem. Electronic Journal of Differential Equations, 2006(41), pp. 1-10.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.