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Positive and Nontrivial Solutions for the Urysohn Integral Equation

✍ Scribed by Daniel Franco; Gennaro Infante; Donal O’regan

Book ID
106277973
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
148 KB
Volume
22
Category
Article
ISSN
1439-7617

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Positive solutions for a Hammerstein int
Positive solutions for a Hammerstein integral equation with a parameter
✍ Xi-Lan Liu; Jian-Hua Wu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 352 KB

We discuss the existence of positive solutions for the Hammerstein integral equation By calculation of the fixed point index in a cone, we obtain that there exists a critical value λ \* > 0 such that the above equation has at least two, one positive solutions for λ ∈ (0, λ \* ), λ = λ \* , respecti