Keywords: quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems
@article{CMJ_2004_54_4_a1,
author = {Jankowski, Tadeusz},
title = {Multipoint boundary value problems for {ODEs.} {Part} {II}},
journal = {Czechoslovak Mathematical Journal},
pages = {843--854},
year = {2004},
volume = {54},
number = {4},
mrnumber = {2099998},
zbl = {1080.34512},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a1/}
}
Jankowski, Tadeusz. Multipoint boundary value problems for ODEs. Part II. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 843-854. http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a1/
[1] R. A. Agarwal, D. O’Regan and P. J. Y. Wong: Positive Solutions of Differential Difference and Integral Equations. Kluwer Academic Publishers, Dordrecht, 1999. | MR
[2] R. Bellman: Methods of Nonlinear Analysis, Vol. II. Academic Press, New York, 1973. | MR | Zbl
[3] R. Bellman and R. Kalaba: Quasilinearization and Nonlinear Boundary Value Problems. American Elsevier, New York, 1965. | MR
[4] S. Heikkilä and V. Lakshmikantham: Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations. Marcel Dekker, New York, 1994. | MR
[5] T. Jankowski: Boundary value problems for ODEs. Czechoslovak Math. J. 53 (2003), 743–756. | DOI | MR | Zbl
[6] T. Jankowski: Multipoint boundary value problems for ODEs. Part I. Appl. Anal. 80 (2001), 395–407. | DOI | MR
[7] G. S. Ladde, V. Lakshmikantham and A. S. Vatsala: Monotone Iterative Techniques for Nonlinear Differential Equations. Pitman, Boston, 1985. | MR
[8] V. Lakshmikantham: Further improvements of generalized quasilinearization method. Nonlinear Anal. 27 (1996), 223–227. | DOI | MR
[9] V. Lakshmikantham, S. Leela and S. Sivasundaram: Extensions of the method of quasilinearization. J. Optimization Theory Appl. 87 (1995), 379–401. | DOI | MR
[10] V. Lakshmikantham, N. Shahzad and J. J. Nieto: Methods of generalized quasilinearization for periodic boundary value problems. Nonlinear Anal. 27 (1996), 143–151. | DOI | MR
[11] V. Lakshmikantham and N. Shahzad: Further generalization of generalized quasilinearization method. J. Appl. Math. Stoch. Anal. 7 (1994), 545–552. | DOI | MR
[12] V. Lakshmikantham and A. S. Vatsala: Generalized Quasilinearization for Nonlinear Problems. Kluwer Academic Publishers, Dordrecht, 1998. | MR
[13] D. O’Regan and M. Meehan: Existence Theory for Nonlinear Integral and Integrodifferential Equations. Kluwer Academic Publishers, Dordrecht, 1998. | MR
[14] M. Ronto and A. M. Samoilenko: Numerical-Analytic Methods in the Theory of Boundary-Value Problems. World Scientific, Singapore, 2000. | MR
[15] V. Šeda: A remark to quasilinearization. J. Math. Anal. Appl. 23 (1968), 130–138. | DOI | MR
[16] Y. Yin: Remarks on first order differential equations with anti-periodic boundary conditions. Nonlinear Times Digest 2 (1995), 83–94. | MR | Zbl
[17] Y. Yin: Monotone iterative technique and quasilinearization for some anti-periodic problems. Nonlinear World 3 (1996), 253–266. | MR | Zbl