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2 results on '"Jiehua Zhang"'

1. Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems

Author

Yanping Guo, Jiehua Zhang, and Yude Ji

Subjects
Mathematics, QA1-939
Abstract

By using a new fixed-point theorem introduced by Avery and Peterson (2001), we obtain sufficient conditions for the existence of at least three positive solutions for the equation Δ2x(k−1)+q(k)f(k,x(k),Δx(k))=0, for k∈{1,2,…,n−1}, subject to the following two boundary conditions: x(0)=x(n)=0 or x(0)=Δx(n−1)=0, where n≥3.

Published
2007
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2. Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems

Author

Jiehua Zhang, Yanping Guo, and Yude Ji

Subjects
Article Subject, Modeling and Simulation, lcsh:Mathematics, Mathematical analysis, Order (group theory), Boundary value problem, Triple-Positive, lcsh:QA1-939, Mathematics
Abstract

By using a new fixed-point theorem introduced by Avery and Peterson (2001), we obtain sufficient conditions for the existence of at least three positive solutions for the equationΔ2x(k−1)+q(k)f(k,x(k),Δx(k))=0, fork∈{1,2,…,n−1}, subject to the following two boundary conditions:x(0)=x(n)=0orx(0)=Δx(n−1)=0, wheren≥3.

Published
2007

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