About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Angelov, Vasil G. ; Bajnov, Drumi Dimitrov
О существовании и единственности ограниченного решения функционально-дифференциальных уравнений нейтрального типа в Банаховом пространстве. (Russian) [On existence and uniqueness of bounded solution of functional-differential equations of neutral type in Banach space]. Archivum Mathematicum, vol. 17 (1981), issue 2, pp. 65-72
MSC: 34G20, 34K05, 34K30 | MR 673247 | Zbl 0492.34055
References:
[1] Maгtin R. H.: A global existence theorem for autonomous differential equations in a Banach space. Proc. Amer. Math. Soc. 26 (1970), 307-314. MR 0264195
[2] Webb G. F.: Accretive operators and existence for nonlinear functional differential equations. J. Diff. Equations 14 (1973), 57-69. MR 0346265 | Zbl 0243.34122
[3] Lovelady D. L., Martin R. H.: A global existence theorem for nonautonomous differential equations in a Banach space. Proc. Amer. Math. Soc. 35 (1972), 445-449. MR 0303035
[4] Barbu V.: Semigrupuri de contractii nelineare in spatii Banach. Ed. Acad. R S Romania, Bucuresti, 1974. MR 0370280
[5] Pavel N.: Ecuatii diferentiale asociate unor operatori neliniari pe spatii Banach. Ed. Acad. R S Romania, Bucuresti, 1977. MR 0467407 | Zbl 0357.34060
[6] Kato T.: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan, 19 (1967), 508-520. MR 0226230 | Zbl 0163.38303
[7] Кypпeль H. C: O cyщecmвoвaнuu, eдuнcmвeннocmu u нenpepывнoй зaвucuмocmu om napaмempa oгpaнuчeнныx peшeнuй фyнкцuoнaлънo-дuффepeнцuaлъныx ypaвнeнuй. Kaчecmвeнныe мemoды meopuu дuффepeнцuaлъныx ypaвнeнuй c omклoняющuмcя apгyмeнmoм. Издaниe Инcтитyтa мaтeмaтики AH УCCP, Kиeв, 1977, 45-49.
[8] Jankowski T., Kwapisz M.: On the existence and uniqueness of solutions of systems of differential equations with deviated argument. Ann. Pol. Math. XXVI (1972), 253-277. MR 0303047
Partner of
EuDML logo