Generalized quasilinearization method for a first order differential equation with integral boundary condition

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 12, Issue 2, 2005, Pages 289-296

  Ahmad, Bashir ^a   Khan, Rahmat Ali ^b   Sivasundaram, S ^c  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

^c EMBRY RIDDLE AERONAUTICAL UNIVERSITY   (United States)

Author keywords

Generalized quasilinearization; Integral boundary condition; Quadratic convergence

Indexed keywords

EID: 16244384479     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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2. Bashir Ahmad, J.J. Nieto & Naseer Shahzad, The Bellman-Kalaba- Lakshmikantham quasilinearization method for Neumann problems, J. Math. Anal. &c Applic., 257, 356, 2001.
3. V.Lakshmikantham, An extension of the method of quasilinearization, J. Optim. Theory Appl.,82, 315, 1994.
4. V.Lakshmikantham, Further improvement of generalized quasilinearization, Nonlinear Analysis, 27, 315, 1996.
5. V.Lakshmikantham, S.Leela and F.A.McRae, Improved generalized quasilinearization method, Nonlinear Analysis, 24, 1627, 1995.
6. V.Lakshmikantham and N.Shahzad, Further generalization of generalized quasilinearization method, J. Appl. Math. Stoch. Anal., 7, 545, 1994.
7. V.Lakshmikantham, N.Shahzad, and J.J.Nieto, Method of generalized quasilinearization for periodic boundary value problems, Nonlinear Analysis, 27, 143, 1996.
8. V.Lakshmikantham and A.S.Vatsala, Generalized Quasilinearization for Nonlinear Problems, Kluwer Academic Publishers, Boston, 1998.
9. J. J. Neito, Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions, Proc. Amer. Math. Soc., 125, 2599, 1997.