Solutions for certain classes of the Riccati differential equation

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 35, 2007, Pages 10903-10914

  Saad, Nasser ^a   Hall, Richard L ^b   Ciftci, Hakan ^c  

^a UNIVERSITY OF PRINCE EDWARD ISLAND   (Canada)

^b Dept of Electrical and Computer Engineering   (Canada)

^c GAZI UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548740240     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/35/012     Document Type: Article

References (9)

1. Ciftci H, Hall R L and Saad N 2003 Asymptotic iteration method for eigenvalue problems J. Phys. A: Math. Gen. 36 11807-16
2. Saad N, Hall R L and Ciftci H 2006 Criterion for polynomial solutions to a class of linear differential equation of second order J. Phys. A: Math. Gen. 39 13445-54
3. Polyanin A D and Zaitsev V F 2003 Handbook of Exact Solutions for Ordinary Differential Equations 2nd edn (London/Boca Raton, FL: Chapman and Hall/CRC Press)
4. Kamke E 1977 Differentialgleichungen: Losungsmethoden und Losungen: I. Gewohnliche Differentialgleichungen (Leipzig: B. G. Teubner)
5. Ince E L 1956 Ordinary Differential Equations (New York: Dover) p 22 and p 531 of Appendix A
6. Prudnikov A P, Brychkov Yu A and Marichev O I 1998 Integrals and Series: More Special Functions vol 3 (London: Gordon and Breach Science Publishers)
7. Murphy G M 1960 Ordinary Differential Equations and Their Solutions (Princeton, NJ: Van Nostrand)
8. Sugai Iwao 1960 Riccati's nonlinear differential equation Am. Math. Mon. 69 134-9
9. Haaheim D R and Stein F M 1969 Methods of solution of the Riccati differential equation Math. Mag. 42 233-40