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1996 | 64 | 3 | 215-226
Tytuł artykułu

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

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
64
Numer
3
Strony
215-226
Opis fizyczny
Daty
wydano
1996
otrzymano
1993-06-16
Twórcy
autor
  • Dipartimento di Matematica, Via L. Vanvitelli 1, 06100 Perugia, Italy
Bibliografia
  • [1] R. Bellman and K. Cooke, Differential Difference Equations, Academic Press, New York, 1963.
  • [2] P. Brandi and R. Ceppitelli, Existence, uniqueness and continuous dependence for hereditary differential equations, J. Differential Equations 81 (1989), 317-339.
  • [3] P. Brandi and R. Ceppitelli, A new graph topology. Connections with the compact-open topology, Appl. Anal., to appear.
  • [4] R. Ceppitelli and L. Faina, Differential equations with hereditary structure induced by a Volterra type property, submitted for publication.
  • [5] P. C. Das and N. Parhi, On a functional-differential equation of neutral type, J. Math. Anal. Appl. 35 (1971), 67-82.
  • [6] R. Driver, Existence and continuous dependence of solutions of a neutral functional-differential equation, Arch. Rational Mech. Ann. 19 (1965), 149-166.
  • [7] L. Faina, Equivalent hereditary structures for a class of functional differential equations, submitted for publication.
  • [8] J. K. Hale, Theory of Functional Differential Equations, Appl. Math. Sci. 3, Springer, 1977.
  • [9] J. K. Hale and M. A. Cruz, Existence, uniqueness, and continuous dependence for hereditary systems, Ann. Mat. Pura Appl. 85 (1970), 63-82.
  • [10] J. K. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkc. Ekvac. 21 (1978), 11-41.
  • [11] J. K. Hale and K. R. Meyer, A class of functional equations of neutral type, Mem. Amer. Math. Soc. 76 (1967).
  • [12] D. Henry, Linear autonomous neutral functional differential equations, J. Differential Equations 15 (1974), 106-128.
  • [13] M. Kisielewicz, Some generic properties of functional-differential equations of neutral type, J. Math. Anal. Appl. 97 (1984), 229-244.
  • [14] W. R. Melvin, Topologies for nonlinear functional differential equations, J. Differential Equations 13 (1973), 24-31.
  • [15] W. R. Melvin, A class of neutral functional-differential equations, J. Differential Equations 12 (1972), 524-534.
  • [16] Z. Wang and J. Wu, Neutral functional differential equations with infinite delay, Funkc. Ekvac. 28 (1985), 157-170.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-apmv64z3p215bwm
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