Functional differential equations of second order

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 10, Issue 2, 2003, Pages 291-298

  Jankowski, Tadeusz ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Monotone iterations; Quasilinearization; Superlinear convergence

Indexed keywords

EID: 0041411371     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1054818029     Document Type: Article

References (9)

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2. S. R. Bernfeld and V. Lakshmikantham, An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York 1974.
3. J. K. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations, Springer-Verlag. New York 1993.
4. V. Kolmanovskii and A. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht 1999.
5. V. Lakshmikantham and S. Leela, Nonlinear Differential Equations in Abstract Spaces, Pergamon Press, Oxford 1981.
6. V. Lakshmikantham and A. S. Vatsala, Generalized Quasilinearization for Nonlinear Problems, Kluwer Academic Publishers, Dordrecht 1998.
7. V. Lakshmikantham and N. Shahzad, Method of quasilinearization for boundary value problems of functional differential equations, in Boundary Value Problems for Functional Differential Equations, Ed. J. Henderson, 209-213, NJ, 1995.
8. J. Nieto, Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions, Proc. Amer. Math. Soc. 125 (1997), 2599-2604.
9. N. Shahzad and A. S. Vatsala, Extension of the method of generalized quasilinearization for second order boundary value problems, Appl. Anal. 58 (1995), 77-83.