The existence and some properties of solutions of a differential equation with deviated argument

Józef Banaś; Urszula Stopka

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 3, page 525-536
  • ISSN: 0010-2628

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Banaś, Józef, and Stopka, Urszula. "The existence and some properties of solutions of a differential equation with deviated argument." Commentationes Mathematicae Universitatis Carolinae 022.3 (1981): 525-536. <http://eudml.org/doc/17126>.

@article{Banaś1981,
author = {Banaś, Józef, Stopka, Urszula},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional differential equation; asymptotic behavior of the solutions; Darbo type fixed point theorem},
language = {eng},
number = {3},
pages = {525-536},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The existence and some properties of solutions of a differential equation with deviated argument},
url = {http://eudml.org/doc/17126},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Banaś, Józef
AU - Stopka, Urszula
TI - The existence and some properties of solutions of a differential equation with deviated argument
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 3
SP - 525
EP - 536
LA - eng
KW - functional differential equation; asymptotic behavior of the solutions; Darbo type fixed point theorem
UR - http://eudml.org/doc/17126
ER -

References

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  3. S. CZERWIK, The existence of global solutions of a functional-differential equation, Colloq. Math., Vol. 36, fasc. 1 (1976), 121-125. (1976) Zbl0356.34077MR0425295
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  5. J. DANEŠ, On densifying and related mappings and their applications in nonlinear functional analysis, Theory of nonlinear operators, Akademie-Verlag, Berlin (1974), 15-56. (1974) MR0361946
  6. G. DARBO, Punti uniti in transformazioni a condominio non compatto, Rend. Sem. Math. Univ. Padova 24 (1955), 84-92. (1955) MR0070164
  7. L. H. EL'SGOL'C S. B. NORKIN, Introduction to the theory and application of differential equations with deviating arguments, New York, Acad. Press, 1973. (1973) MR0352647
  8. J. HALE, Functional differential equations, Springer-Verlag, New York - Heidelberg - Berlin, 1971. (1971) Zbl0223.34057MR0390425
  9. G. HETZER, Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type, Comment. Math. Univ. Carolinae 16 (1975), 121-138. (1975) Zbl0298.47034MR0364814
  10. J. JARNÍK J. KURZWEIL, On Ryabov's special solutions of functional differential equations, Proc. Colloq. Math. Soc. Janos Bolyai, 15, Diff. Eqs. (1975), 303-308. (1975) MR0499603
  11. A. D. MYŠKIS, Linear differential equations with retarded argument, Moscow 1972 (in Russian). (1972) MR0352648
  12. B. B. SADOVSKII, Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 85-155. (1972) MR0428132
  13. K. ZIMA, Sur une équation différentielle du premier ordre à un argument fonctionnel, Ann. Polon. Math. 25 (1972), 205-214. (1972) MR0303046
  14. K. ZIMA, Sur l existence des solutions d'une équation intégro-différentielle, ibidem, 27 (1973), 181-187. (1973) Zbl0257.45009MR0324349

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