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Positive solutions of a quadratic integral equation

✍ Scribed by George H. Pimbley

Publisher
Springer
Year
1967
Tongue
English
Weight
915 KB
Volume
24
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

On solutions of a quadratic integral equ
On solutions of a quadratic integral equation of Hammerstein type
✍ J. BanaΕ›; J. Rocha Martin; K. Sadarangani πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 211 KB

We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special c

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we study a nonlinear quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. With the help of a suitable measure of noncompactness, we show that the mentioned integral equation has monotonic solutions.

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✍ Xi-Lan Liu; Jian-Hua Wu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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