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 Ξ» \* > 0 such that the above equation has at least two, one positive solutions for Ξ» β (0, Ξ» \* ), Ξ» = Ξ» \* , respecti
On a nonlinear Hammerstein integral equation with a parameter
β Scribed by Xi-Lan Liu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 419 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
## Abstract A transformation exists which allows the general Riccati equation to be written in a simpler form: The transformed equation has the equivalent nonlinear Hammerstein integral equation if the kernel __N__(r, rβ²) satisfies three conditions: and and A solution of the nonlinear integra