References
- Appell , J. , Vignoli , A. and Zabreiko , P.P. 1996 . Implicit Function Theorems and Nonlinear Integral Equations . Exposition. Math , 14 : 385 – 424 .
- Agarwal , R.P. , O'Regan , D. and Wong , P.J. 1999 . Positive Solutions of Differential . Difference and Integral Equations ,
- Boffi , V.C. and Spiga , G. 1983 . An equation of Hammerstein type arising in particle transport theory . J. Math. Phys , 24 : 1625 – 1629 .
- Boffi , V.C. , Bowden , R.L. and Spiga , G. 1984 . On the solutions to a class of nonlinear integral equations arising in transport theory . J. Math. Phys , 25 : 3444 – 3450 .
- Edwards , R.E. 1995 . Functional Analysis . Dover ,
- Erbe , L. , Guo , D. and Liu , X. 1992 . Positive solutions of a class of nonlinear integral equations and applications . J. Integral Equations Appl , 4 : 179 – 195 .
- Guo , D. 1993 . Positive fixed points and eigenvectors of noncompact decreasing operators with applications to nonlinear integral equations . Chin. Ann. of Math , 4 : 419 – 426 .
- Guo , D. and Lakshmikantham , V. 1988 . “ Nonlinear Problems in Abstract Cones ” . New York : Academic Press Inc. .
- Krasnoselskii , M.A. 1964 . Positive solutions of operator equations . P. Noordhoff, Groningen ,
- Krasnoselskii , M.A. 1964 . “ Topological methods in the theory of nonlinear integral equations ” . Oxford : Pergamon Press .
- Lakshmikantham , V. and Leela , S. 1969 . “ Differential and integral inequalities: Theory and applications ” . In Ordinary differential equations , Vol. 1 , London : Academic Press .
- Meehan , M. and O'Regan , D. 1998 . Existence theory for nonlinear integral and integrodifferential equations . Mathematics and its Applications , 445
- Meehan , M. and O'Regan , D. 1999 . Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals . Nonlinear Anal , 35 : 355 – 387 .
- O'Regan , D. 1995 . Existence results for nonlinear integral equations . J. Math. Anal. Appl , 192 : 705 – 726 .
- Sommariva , A. and Vianello , M. 1998 . Approximating fixed-points of decreasing operators in spaces of continuous functions . Numer. Funct. Anal. Optim , 19 : 635 – 646 .
- Sommariva , A. and Vianello , M. 1999 . Constructive analysis of purely integral Boltzmann models . J. Integral Equations Appl , 11
- Sommariva A. Vianello M. Constructive approximation for a class of perturbed Hammerstein integral equations Nonlinear Anal. to appear
- Zabreiko , P.P. 1975 . Integral equations - a reference text . P.Noordhoff ,
- Zeidler , E. 1986 . Nonlinear Functional Analysis and its Applications 1 .