Approximate solutions of equations in Banach spaces by the Newton iterative method. Part 2. Hammerstein integral equations

Zdenka Groschaftová

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 3, page 469-501
  • ISSN: 0010-2628

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Groschaftová, Zdenka. "Approximate solutions of equations in Banach spaces by the Newton iterative method. Part 2. Hammerstein integral equations." Commentationes Mathematicae Universitatis Carolinae 008.3 (1967): 469-501. <http://eudml.org/doc/16231>.

@article{Groschaftová1967,
author = {Groschaftová, Zdenka},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {numerical analysis},
language = {eng},
number = {3},
pages = {469-501},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Approximate solutions of equations in Banach spaces by the Newton iterative method. Part 2. Hammerstein integral equations},
url = {http://eudml.org/doc/16231},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Groschaftová, Zdenka
TI - Approximate solutions of equations in Banach spaces by the Newton iterative method. Part 2. Hammerstein integral equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 3
SP - 469
EP - 501
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/16231
ER -

References

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  2. D. L. BERMAN, Schodimosť interpoljacionnogo processa Lagranža, postrojennogo dlja absoljutno nepreryvnych funkcij i funkcij s ograničennym izměněnijem, DAN 112 (1957), 9-12. (1957) MR0085379
  3. D. L. BERMAN, K teorii interpoljacii, DAN 163 (1965), 551-554. (1965) MR0196343
  4. E. BOHL, Die Theorie einer Klasse linearer Operatoren und Existenzsätze für Lösungen nichtlinearer Probleme in halbheordneten Banach-Räumen, Archiv Rat. Mech. Anal. 15 (1964), 263-288. (1964) MR0158288
  5. Z. GROSCHAFTOVÁ, Approximate solutions of equations in Banach spaces by the Newton iterative method, Part 1. General theorems, Comment. Math. Univ. Carolinae, 8, 2 (1967), 335-358. (1967) MR0212980
  6. I. A. JEGOROVA, O schodimosti interpljacionnogo processa Lagranža po kornjam polinomov Čebyševa vtorogo roda, Uč. zapiski LGU 183 (1958), 143-150. (1958) 
  7. L. V. KANTOROVIČ G. P. AKILOV, Funkcionalnyj analiz v normirovannych prostranstvach, Moskva 1959. (1959) 
  8. H. B. KELLER E. L. REISS, Iterative solutions for the nonlinear bending of circular plates, Com. Pure Appl. Math. 11 (1958), 273-292. (1958) MR0098504
  9. I. I. KOLODNER, Equations of Hammerstein type in Hilbert spaces, Journ. Math. Mech. 13 (1964), 701-750. (1964) Zbl0149.36401MR0171184
  10. V. I. KRYLOV, Schodimosť algebraičeskogo interpolirovanija po kornjam mnogočlena Čebyševa dlja absoljutno nepreryvnych funkcij i funkcij s ograničennym izmeněnijem, DAN 107 (1956), 362-365. (1956) MR0079121
  11. C. LANCZOS, Praktičeskije metody prikladnogo analiza, Moskva 1961 (translated from English). (1961) 
  12. C. LANCZOS, Trigonometrical interpolation of empirical and analytical functions, Journ. Appl. Math. Phys. 17 (1938), 123-199. (1938) 
  13. I. P. MYSOVSKICH, O metodě mechaničeskich kvadratur dlja řešenija integralnych uravněnij, Vestnik LGU 1962, No 7, 78-88. (1962) 
  14. I. P. NATANSON, Konstruktive Funktionentheorie, Berlin 1955 (translated from Russian) - Chap. VI, § 2. (1955) Zbl0065.29502MR0069915
  15. E. STEHLÍK, Numerické řešení integrálních rovnic užitím interpolačních polynomů a jeho aplikace v technické praxi, dissertation MFF KU, 1964. (1964) 
  16. G. M. VAJNIKKO, O schodimosti metoda kollokacii dlja nelinejnych differencialnych uravněnij, Žurnal vyč. mat. i mat. fiz. 6 (1966), 35-42. (1966) 

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