Positive Solutions for Third‐Order p‐Laplacian Functional Dynamic Equations on Time Scales

Wen Guan and Da-Bin Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the following third‐order p‐Laplacian functional dynamic equation on time scales: Φp(uΔ∇(t))∇+a(t)f(u(t),u(μ(t)))=0, t ∈ (0, T)T, u(t) = φ(t), t ∈ [−r, 0]T, uΔ(0) = uΔ∇(T) = 0, and u(T) + B0(uΔ(η)) = 0. By applying the Five‐Functional Fixed Point Theorem, the existence criteria of three positive solutions are established.

Date: 2014
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https://doi.org/10.1155/2014/676052

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:676052

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