On Urabe's application of Newton's method to nonlinear boundary value problems
Agarwal, Ravi P.
Archivum Mathematicum, Tome 020 (1984), p. 113-123 / Harvested from Czech Digital Mathematics Library
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Publié le : 1984-01-01
Classification:  34B15 
@article{107194,
     author = {Ravi P. Agarwal},
     title = {On Urabe's application of Newton's method to nonlinear boundary value problems},
     journal = {Archivum Mathematicum},
     volume = {020},
     year = {1984},
     pages = {113-123},
     zbl = {0572.34020},
     mrnumber = {784862},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107194}
}

Agarwal, Ravi P. On Urabe's application of Newton's method to nonlinear boundary value problems. Archivum Mathematicum, Tome 020 (1984) pp. 113-123. http://gdmltest.u-ga.fr/item/107194/

R. P. Agarwal Iterative methods for the system of second order boundary value problems, J. Math. Phys. Sci. 11 (1977), 209-218. (1977) | MR 0461924

R. P. Agarwal Component-wise convergence in quasilinearization, Proc. Indian Acad. Sci. Sec. A. 86 (1977), 519-529. (1977) | MR 0492473

R. P. Agarwal On periodic solutions of nonlinear second order differential systems, J. Comp. Appl. Math. 5 (1979), 117-123. (1979) | MR 0536248 | Zbl 0407.34021

R. P. Agarwal; Jaromír Vosmanský Two-point boundary value problems for second order systems, Arch. Math. (Brno), 19 (1983), 1-8. (1983) | MR 0724304

R. P. Agarwal Contraction and approximate contraction with an application to multi-point boundary value problems, J. Comp. Appl. Math. 9 (1983), 315-325. (1983) | MR 0729235 | Zbl 0546.65060

G. Anichini Nonlinear problems for systems of differential equations, Nonlinear Analysis. Theory, Methods and Applications, 1 (1977), 691-699. (1977) | MR 0592963 | Zbl 0388.34011

S. R. Bernfeld; V. Lakshmikantham An Introduction to Nonlinear Boundary Value Problems, Academic Press, New York, 1974. (1974) | MR 0445048 | Zbl 0286.34018

L. Collatz Functional Analysis and Numerical Mathematics, Academic Press, New York, 1974. (1974) | MR 0205126

R. Conti Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. UMI, 22 (1967), 135-178. (1967) | MR 0218650 | Zbl 0154.09101

P. L. Falb; J. L. De Jong Some Successive Approximation Methods in Control and Oscillation Theory, Academic Press, New York, 1969. (1969) | MR 0264855 | Zbl 0202.09603

A. Perov; A. Kibenko On a certain general method for investigation of boundary value problems, Izv. Akad. Nauk SSSR 30 (1966), 249-264. (1966) | MR 0196534

J. Schröder Das Iterationsverfahren bei verallgemeinertem Abstandsbegriff, Math. Z. 60 (1956), 111-116. (1956) | MR 0083816

M. Urabe An existence theorem for multi-point boundary value problems, Funkcialaj Ekvacioj, 9 (1966), 43-60. (1966) | MR 0209558 | Zbl 0168.06502

M. Urabe The Newton method and its applications, Proc. US-Japan seminar on differential and functional equations, (1967), 383-410. (1967) | MR 0223628

M. Urabe Component-wise error analysis of iterative methods practiced on a floating-point system, Mem. Fac. Sci. Kyushu Univ. Ser. A. 27 (1973), 23-64. (1973) | MR 0323099 | Zbl 0277.65034

M. Urabe A posteriori component-wise error estimation of approximate solutions to nonlinear equations, Lecture notes in Computer science 29, Interval Mathematics, Springer-Verlag (1975), 99-117. (1975) | Zbl 0306.65031

M. Urabe On the Newton method to solve problems of the least squares type for ordinary differential equations, Proc. Int. Symp. Dynamical Systems, Providence, (1974), 1-7. (1974) | MR 0375791

M. Urabe On the Newton method to solve problems of the least squares type for ordinary differential equations, Mem. Fac. Sci. Kyushu Univ., Ser. A, 29 (1975), 173-183. (1975) | MR 0375791 | Zbl 0357.65055