Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space

Lamberto Cesari; Heinz W. Engl

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 4, page 670-678
  • ISSN: 0011-4642

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Cesari, Lamberto, and Engl, Heinz W.. "Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space." Czechoslovak Mathematical Journal 31.4 (1981): 670-678. <http://eudml.org/doc/13292>.

@article{Cesari1981,
author = {Cesari, Lamberto, Engl, Heinz W.},
journal = {Czechoslovak Mathematical Journal},
keywords = {nonlinear nonselfadjoint problems in Banach spaces; projection; first order nonlinear ordinary differential equation with lag and forcing term},
language = {eng},
number = {4},
pages = {670-678},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space},
url = {http://eudml.org/doc/13292},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Cesari, Lamberto
AU - Engl, Heinz W.
TI - Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 4
SP - 670
EP - 678
LA - eng
KW - nonlinear nonselfadjoint problems in Banach spaces; projection; first order nonlinear ordinary differential equation with lag and forcing term
UR - http://eudml.org/doc/13292
ER -

References

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  1. L. Cesari, Functional analysis, nonlinear differential equations, and the alternative method, in: Nonlinear Functional Analysis and Differential Equations (L. Cesari, R. Kannan, J. Schuur, eds.), Dekker, New York, 1976, 1-197. (1976) Zbl0343.47038MR0487630
  2. L. Cesari R. Kannan, 10.1090/S0002-9939-1977-0448180-3, Proc. Amer. Math. Soc. 63 (1977), 221-225. (1977) Zbl0361.47021MR0448180DOI10.1090/S0002-9939-1977-0448180-3
  3. L. Cesari, 10.1016/0022-0396(78)90079-7, Journ. Differential Equations 28 (1978), 43-59. (1978) Zbl0395.34034MR0477909DOI10.1016/0022-0396(78)90079-7
  4. L. Cesari, Functional analysis and periodic solutions of nonlinear differential equations, in: Contributions to Differential Equations 1, Wiley, New York, 1963, 149-187. (1963) Zbl0132.07101MR0151678
  5. K. Deimling, Nichtlineare Gleichungen und Abbildungsgrade, Springer, Berlin, 1974. (1974) Zbl0281.47033MR0500322
  6. S. Fučík, Further remarks on a theorem by E. Landesman and A. С Lazer, Comment. Math. Univ. Carol. 15 (1974), 259-271. (1974) MR0348260
  7. R. Kantian P. McKenna, An existence theorem by alternative methods for semilinear abstract equations at resonance, Boll. Un. Mat. Ital. (5) 14-A (1977), 355-358. (1977) MR0500347
  8. R. B. Kellogg, 10.1090/S0002-9939-1976-0423137-6, Proc. Amer. Math. Soc. 60 (1976), 207-210. (1976) Zbl0352.47025MR0423137DOI10.1090/S0002-9939-1976-0423137-6
  9. E. Landesman A. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) Zbl0193.39203MR0267269
  10. A. Lazer D. Leach, Bounded perturbations of forced harmonic oscillations at resonance, Ann. Mat. Pura Appl. 72 (1969), 49-68. (1969) Zbl0194.12003MR0249731
  11. N. Lloyd, Degree Theory, Cambridge University Press, Cambridge, 1978. (1978) Zbl0367.47001MR0493564
  12. S. A. Williams, 10.1307/mmj/1029000100, Michigan Math. Journ. 15 (1968), 441-448. (1968) Zbl0174.45601MR0236791DOI10.1307/mmj/1029000100
  13. S. A. Williams, 10.1016/0022-0396(70)90031-8, Journ. Differential Equations 8 (1970), 580-586. (1970) Zbl0209.13003MR0267267DOI10.1016/0022-0396(70)90031-8

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