Existence and continuous dependence for a class of neutral functional differential equations

Loris Faina

Annales Polonici Mathematici (1996)

  • Volume: 64, Issue: 3, page 215-226
  • ISSN: 0066-2216

Abstract

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A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.

How to cite

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Loris Faina. "Existence and continuous dependence for a class of neutral functional differential equations." Annales Polonici Mathematici 64.3 (1996): 215-226. <http://eudml.org/doc/270012>.

@article{LorisFaina1996,
abstract = {A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.},
author = {Loris Faina},
journal = {Annales Polonici Mathematici},
keywords = {neutral functional differential equations; abstract equivalence; Cauchy problem; Carathéodory-type condition; Schauder's theorem; hereditary structure},
language = {eng},
number = {3},
pages = {215-226},
title = {Existence and continuous dependence for a class of neutral functional differential equations},
url = {http://eudml.org/doc/270012},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Loris Faina
TI - Existence and continuous dependence for a class of neutral functional differential equations
JO - Annales Polonici Mathematici
PY - 1996
VL - 64
IS - 3
SP - 215
EP - 226
AB - A general result on existence and continuous dependence of the solution for a quite wide class of N.F.D.E. is given. Further, an abstract equivalence is proved for three different formulations of N.F.D.E.
LA - eng
KW - neutral functional differential equations; abstract equivalence; Cauchy problem; Carathéodory-type condition; Schauder's theorem; hereditary structure
UR - http://eudml.org/doc/270012
ER -

References

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  6. [6] R. Driver, Existence and continuous dependence of solutions of a neutral functional-differential equation, Arch. Rational Mech. Ann. 19 (1965), 149-166. Zbl0148.05703
  7. [7] L. Faina, Equivalent hereditary structures for a class of functional differential equations, submitted for publication. 
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  9. [9] J. K. Hale and M. A. Cruz, Existence, uniqueness, and continuous dependence for hereditary systems, Ann. Mat. Pura Appl. 85 (1970), 63-82. Zbl0194.41002
  10. [10] J. K. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkc. Ekvac. 21 (1978), 11-41. Zbl0383.34055
  11. [11] J. K. Hale and K. R. Meyer, A class of functional equations of neutral type, Mem. Amer. Math. Soc. 76 (1967). Zbl0179.20501
  12. [12] D. Henry, Linear autonomous neutral functional differential equations, J. Differential Equations 15 (1974), 106-128. Zbl0294.34047
  13. [13] M. Kisielewicz, Some generic properties of functional-differential equations of neutral type, J. Math. Anal. Appl. 97 (1984), 229-244. Zbl0524.34068
  14. [14] W. R. Melvin, Topologies for nonlinear functional differential equations, J. Differential Equations 13 (1973), 24-31. Zbl0238.34101
  15. [15] W. R. Melvin, A class of neutral functional-differential equations, J. Differential Equations 12 (1972), 524-534. Zbl0234.34083
  16. [16] Z. Wang and J. Wu, Neutral functional differential equations with infinite delay, Funkc. Ekvac. 28 (1985), 157-170. Zbl0553.34044

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