[1]
|
J. Appell and C. Chen, “How to Solve Hammerstein Equations,” Journal of Integral Equations and Applications, Vol. 18, No. 3, 2006, pp. 287-296.
doi:10.1216/jiea/1181075392
|
[2]
|
K. Deimling, “Nonlinear Functional Analysis,” Springer-Verlag, Berlin, 1985. doi:10.1007/978-3-662-00547-7
|
[3]
|
A.A. El-Bary, “Sobolev’s Method for Hammerstein Integral Equations,” Computers & Mathematics with Applications, Vol. 11, No. 2, 2006, pp. 91-94.
|
[4]
|
X. Liu, “On a Nonlinear Hammerstein Integral Equation with a Parameter,” Nonlinear Analysis, Vol. 70, No. 11, 2009, pp. 3887-3893. doi:10.1016/j.na.2008.07.038
|
[5]
|
D. O’Regan and M. Meehan, “Existence Theory for Nonlinear Integral and Integrodifferential Equations,” Kluwer Academic Publishers, Dordrecht, 1998.
doi:10.1007/978-94-011-4992-1
|
[6]
|
G. Adomian, “A Review of the Decomposition Method in Applied Mathematics,” Journal of Mathematical Analysis and Applications, Vol. 135, No. 2, 1988, pp. 501-544.
doi:10.1016/0022-247X(88)90170-9
|
[7]
|
G. Adomian, “Solving Frontier Problems of Physics: The Decomposition Method,” Kluwer Academic Publishers, Dordrecht, 1994.
|
[8]
|
A. M. Wazwaz, “A Reliable Treatment for Mixed Volterra-Fredholm Integral Equations,” Applied Mathematics and Computation, Vol. 127, No. 2-3, 2002, pp. 405-414. doi:10.1016/S0096-3003(01)00020-0
|
[9]
|
A. M. Wazwaz and S. M. El-Sayed, “A New Modification of the Adomian Decomposition Method for Linear and Nonlinear Operators,” Applied Mathematics and Computation, Vol. 122, No. 3, 2001, pp. 393-405.
doi:10.1016/S0096-3003(00)00060-6
|
[10]
|
H. Brunner, “Implicitly Linear Collocation Methods for Nonlinear Volterra Equations,” Applied Mathematics and Computation, Vol. 9, No. 3-5, 1992, pp. 235-247.
|
[11]
|
T. Tang, S. McKee and T. Diogo, “Product Integration Methods for an Integral Equation with Logarithmic Singular Kernel,” Applied Numerical Mathematics, Vol. 9, No. 3-5, 1992, pp. 259-266.
doi:10.1016/0168-9274(92)90020-E
|
[12]
|
N. Bildik and M. Inc, “Modified Decomposition Method for Nonlinear Volterra-Fredholm Integral Equations,” Chaos Solitons Fractals, Vol. 33, No. 1, 2007, pp. 308- 313. doi:10.1016/j.chaos.2005.12.058
|
[13]
|
H. L. Arora and F. I. Abdelwahid, “Solution of Non-Integer Order Differential Equations via the Adomian Decomposition Method,” Applied Mathematics Letters, Vol. 6, No. 1, 1993, pp. 21-23.
doi:10.1016/0893-9659(93)90140-I
|
[14]
|
M. M. Hosseini and H. Nasabzadeh, “Modified Adomian Decomposition Method for Specific Second Order Ordinary Differential Equations,” Applied Mathematics and Computation, Vol. 186, No. 1, 2007, pp. 117-123.
doi:10.1016/j.amc.2006.07.094
|
[15]
|
D. Kaya, “The Use of Adomian Decomposition Method for Solving a Specific Nonlinear Partial Differential Equations,” Bulletin of the Belgian Mathematical Society Simon Stevin, Vol. 9, No. 3, 2002, pp. 343-349.
|
[16]
|
S. Shah, A. Shaikh and S. H. Sandilo, “Modified Decomposition Method for Nonlinear Volterra-Fredholm Integrodifferential Equation,” Journal of Basic & Applied Sciences, Vol. 6, No. 1, 2010, pp. 13-16.
|
[17]
|
S. H. Behiry, R. A. Abd-Elmonem and A. M. Gomaa, “Discrete Adomian Decomposition Solution of Nonlinear Fredholm Integral Equation,” Ain Shams Engineering Journal, Vol. 1, No. 1, 2010, pp. 97-101.
doi:10.1016/j.asej.2010.09.009
|
[18]
|
J. C. Mason and D. C. Handscomb, “Chebyshev Polynomials,” CRC Press, New York, 2003.
|
[19]
|
A. M. Wazwaz, “A First Course in Integral Equations,” World Scientific Publishing, Singapore City, 1997.
|
[20]
|
A. Jerri, “Introduction to Integral Equations with Applications,” John Wiley & Sons, New York, 1999.
|