Remarks concerning J. Witte's theorem and its applications

Józef Banaś; Jesus Rivero

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 1, page 23-31
  • ISSN: 0010-2628

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Banaś, Józef, and Rivero, Jesus. "Remarks concerning J. Witte's theorem and its applications." Commentationes Mathematicae Universitatis Carolinae 028.1 (1987): 23-31. <http://eudml.org/doc/17510>.

@article{Banaś1987,
author = {Banaś, Józef, Rivero, Jesus},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {first order differential equation; Kamke comparison function},
language = {eng},
number = {1},
pages = {23-31},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks concerning J. Witte's theorem and its applications},
url = {http://eudml.org/doc/17510},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Banaś, Józef
AU - Rivero, Jesus
TI - Remarks concerning J. Witte's theorem and its applications
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 1
SP - 23
EP - 31
LA - eng
KW - first order differential equation; Kamke comparison function
UR - http://eudml.org/doc/17510
ER -

References

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  1. J. BANAŚ K. GOEBEL, Measures of noncompactness in Banach spaces, Marcel Dekker, Lecture Notes in Pure and Applied Math., vol. 60 (1980), New York and Basel. (1980) MR0591679
  2. J. BANAŚ A. HAJNOSZ S. WĘDRYCHOWICZ, Relations among various criteria of uniqueness for ordinary differential equations, Comment. Math. Univ. Carolinae 22 (1981), 59-70. (1981) MR0609936
  3. J. BANAŚ A. HAJNOSZ S. WĘDRYCHOWICZ, On the equation x ' = f ( t , x ) in Banach spaces, Comment. Math. Univ. Carolinae 23 (1982), 233-247. (1982) MR0664970
  4. K. DEIMLING, Ordinary differential equations in Banach spaces, Lecture Notes in Math., 596, Springer Verlag 1977. (1977) Zbl0361.34050MR0463601
  5. K. GOEBEL W. RZYMOWSKI, An existence theorem for the equation x ' = f ( t , x ) in Banach spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 18 (1970), 367-370. (1970) MR0269957
  6. V. LAKSHMIKANTHAM S. LEELA, Differential and integral inequalities, Academic Press, New York 1969. (1969) 
  7. S. ŁOJASIEWICZ, An introduction to the theory of real functions, PWN Warszawa, 1975 (in Polish). (1975) 
  8. M. NAGUMO, Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichung erster Ordnung, Japan J. Math., 3 (1926), 107-112. (1926) 
  9. T. ROGERS, On Nagumo's condition, Canad. Math. Bull., 15 (1972), 609-611. (1972) Zbl0254.34008MR0311965
  10. J. SZARSKI, Differential inequalities, Monografie Matematyczne 43, Warszawa 1965. (1965) Zbl0135.25804MR0190409
  11. S. SZUFLA, On the existence of solutions of ordinary differential equations in Banach spaces, Boll. Un. Mat. Ital., 5, 15-A (1978), 535-544. (1978) Zbl0402.34002MR0521098
  12. W. WALTER, Differential and integral inequalities, Springer Verlag 1970. (1970) Zbl0252.35005MR0271508
  13. J. WITTE, Ein Eindeutigkeitssatz für die Differentialgleichung y ' = f ( x , y ) , Math. Zeit.140 (1974), 281-287. (1974) Zbl0289.34007MR0377147

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