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The Hukuhara–Kneser property for a nonlinear integral equation

✍ Scribed by Le Thi Phuong Ngoc; Nguyen Thanh Long


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
574 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis


Applying a structure theorem of Krasnosel'skii and Perov, we show that the solution set of a nonlinear integral equation satisfies the classical Hukuhara-Kneser property.


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A nonlinear integral equation for visual
✍ Simeon M. Berman; Alan L. Stewart 📂 Article 📅 1979 🏛 Springer-Verlag 🌐 English ⚖ 389 KB

The Hartline-Ratliff equation is a linear integral equation of the second kind and is employed in modeling inhibitory networks. Saturation of the inhibiting elements is commonly modeled as a function whose form is sigmoid; however, the resulting integral equation is nonlinear. Whenever the unknown f