Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain
Date
2007-05-15
Authors
Ma, Shuang-Hong
Sun, Jian-Ping
Wang, Da-Bin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we consider the following dynamic system with parameter on a measure chain T,
uiΔΔ(t) + λhi(t)ƒi(u1(σ(t)), u2(σ(t)),..., un(σ(t))) = 0, t ∈ [ɑ, b],
ɑui(ɑ) - βu1Δ(ɑ) = 0, γui(σ(b)) + δuiΔ (σ(b)) = 0,
where i = 1, 2,..., n. Using fixed point index theory, we find sufficient conditions the existence of positive solutions.
Description
Keywords
Dynamic system, Positive solution, Cone, Fixed point, Measure chain
Citation
Ma, S. H., Sun, J. P., & Wang, D. B. (2007). Existence of positive solutions for nonlinear dynamic systems with a parameter on a measure chain. <i>Electronic Journal of Differential Equations, 2007</i>(73), pp. 1-8.
Rights
Attribution 4.0 International