An existence theorem for bounded solutions of differential equations in Banach spaces

Bogdan Rzepecki

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 89-94
  • ISSN: 0041-8994

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Rzepecki, Bogdan. "An existence theorem for bounded solutions of differential equations in Banach spaces." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 89-94. <http://eudml.org/doc/107991>.

@article{Rzepecki1985,
author = {Rzepecki, Bogdan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Ambrosetti conditions; measure of noncompactness; bounded solution; Banach space},
language = {eng},
pages = {89-94},
publisher = {Seminario Matematico of the University of Padua},
title = {An existence theorem for bounded solutions of differential equations in Banach spaces},
url = {http://eudml.org/doc/107991},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Rzepecki, Bogdan
TI - An existence theorem for bounded solutions of differential equations in Banach spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 89
EP - 94
LA - eng
KW - Ambrosetti conditions; measure of noncompactness; bounded solution; Banach space
UR - http://eudml.org/doc/107991
ER -

References

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  1. [1] A. Ambrosetti, Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova, 39 (1967), pp. 349-360. Zbl0174.46001MR222426
  2. [2] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. Zbl0064.35704MR70164
  3. [3] K. Deimling, Ordinary Differential Equations in Banach Spaces, Lect. Notes in Math. 596, Springer-Verlag, Berlin, 1977. Zbl0361.34050MR463601
  4. [4] M. Furi - A. Vignoli, On α-nonexpansive mappings and fixed points, Rend. Atti Acc. Naz. Lincei, 18 (1977), pp. 195-198. Zbl0197.11806
  5. [5] R.H. Martinjr., Nonlinear Operators and Differential Equations in Banach Spaces, John Wiley and Sons, New York, 1976. Zbl0333.47023MR492671
  6. [6] B. Rzepecki, Remarks on Schauder's fixed point principle and its applications, Bull. Acad. Polon. Sci., Sér. Math., 27 (1979), pp. 473-480. Zbl0435.47057MR560183
  7. [7] A. Stokes, The application of a fixed-point theorem to a variety of nonlinear stabitity problems, Proc. Nat. Acad. Sci. USA, 45 (1959), pp. 231-235. Zbl0086.07302MR104006
  8. [8] S. Szufla, On the existence of solutions of differential equations in Banach spaces, Bull. Acad. Polon. Sci., Sér. Math., 30 (1982), pp. 507-515. Zbl0532.34045MR718727

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