Note on the differential equation F ( t , y ( t ) , y ( h ( t ) ) , y ' ( t ) ) = 0

Bogdan Rzepecki

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 4, page 627-637
  • ISSN: 0010-2628

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Rzepecki, Bogdan. "Note on the differential equation $F(t, y(t), y(h(t)), y^{\prime }(t)) = 0$." Commentationes Mathematicae Universitatis Carolinae 019.4 (1978): 627-637. <http://eudml.org/doc/16926>.

@article{Rzepecki1978,
author = {Rzepecki, Bogdan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {627-637},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Note on the differential equation $F(t, y(t), y(h(t)), y^\{\prime \}(t)) = 0$},
url = {http://eudml.org/doc/16926},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Rzepecki, Bogdan
TI - Note on the differential equation $F(t, y(t), y(h(t)), y^{\prime }(t)) = 0$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 4
SP - 627
EP - 637
LA - eng
UR - http://eudml.org/doc/16926
ER -

References

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  1. S. ABIAN A. B. BROW, On the solution of the differential equation f ( x , y , y ' ) = 0 , Amer. Math. Monthly 66 (1959), 192-199. (1959) MR0104003
  2. A. BIELECKI, Une remarque sur la méthode de Banach-Cacciopoli-Tikhonov dans la théorie des équations différentielles ordinaires, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 4 (1956), 261-264. (1956) MR0082073
  3. L. COLLATZ, Funktionalanalys is und Numerische Mathematik, Berlin - Gdttingen - Heidelberg 1964. (1964) 
  4. R. CONTI, Sulla resoluzione dell’ equazione F ( t , x , x ' ) = 0 , Ann. Mat. Pura Appl. 48 (1959), 97-107. (1959) MR0110838
  5. F. R. GANTMACHER, The theory of matrices, [in Russian], Moscow 1966. (1966) 
  6. K. GOEBEL, A coincidence theorem, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 16 (1968), 733-735. (1968) Zbl0165.49801MR0283648
  7. M. A. KRASNOSELSKIĬ G. M. VAĬNIKKO P. P. ZABREĬKO J. A. B. RUTICKIĬ V. JA. STECENKO, Approximate solution of operator equations, [in Russian], Moscow 1969. (1969) MR0259635
  8. [8J C. KURATOWSKI, Topologie. VI, Warszawa 1958. (1958) 
  9. [9J G. PULVIRENTI, Equazioni differenziali in forma implicite in uno spazi di Banach, Ann. Mat. Pura Appl. 56 (1961), 177-191. (1961) MR0133553
  10. B. RZEPECKI, On the Banach principle and its application to the theory of differential equation, Comment. Math. 19 (1977), 355-363. (1977) MR0478124
  11. B. RZEPECKI, A generalization of Banach's contraction theorem, to appear in Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 26. Zbl0421.47032

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