@article{RSMUP_1994__92__127_0,
author = {Colombo, Giovanni and Garay, Barnabas M.},
title = {Existence results for infinite dimensional differential equations without compactness},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {127--133},
year = {1994},
publisher = {Seminario Matematico of the University of Padua},
volume = {92},
mrnumber = {1320483},
zbl = {0826.34061},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1994__92__127_0/}
}
TY - JOUR AU - Colombo, Giovanni AU - Garay, Barnabas M. TI - Existence results for infinite dimensional differential equations without compactness JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1994 SP - 127 EP - 133 VL - 92 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1994__92__127_0/ LA - en ID - RSMUP_1994__92__127_0 ER -
%0 Journal Article %A Colombo, Giovanni %A Garay, Barnabas M. %T Existence results for infinite dimensional differential equations without compactness %J Rendiconti del Seminario Matematico della Università di Padova %D 1994 %P 127-133 %V 92 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1994__92__127_0/ %G en %F RSMUP_1994__92__127_0
Colombo, Giovanni; Garay, Barnabas M. Existence results for infinite dimensional differential equations without compactness. Rendiconti del Seminario Matematico della Università di Padova, Tome 92 (1994), pp. 127-133. https://www.numdam.org/item/RSMUP_1994__92__127_0/
[1] , On the nonexistence of solutions of differential equations in nonreflexive spaces, Bull. Amer. Math. Soc., 78 (1972), pp. 1069-1072. | Zbl | MR
[2] , On the local existence of solutions of ordinary differential equations, Bull. Pol. Acad. Sci., 20 (1972), pp. 293-296. | Zbl | MR
[3] , Ordinary Differential Equations in Banach Spaces, Lecture Notes in Math., No. 596, Springer, Berlin (1977). | Zbl | MR
[4] , Deux exemples singuliers d'équations différentielles, Acta Sci. Math.(Szeged), 12 (1950), pp. 38-40. | Zbl | MR
[5] , Deleting homeomorphisms and the failure of Peano's existence theorem in infinite-dimensional Banach spaces, Funkcial. Ekvac., 34 (1991), pp. 85-93. | Zbl | MR
[6] , The Peano theorem in Banach spaces, Funktsional. Anal. i Prilozhen., 9 (1975), pp. 59-60 (Russian). | Zbl | MR
[7] - , Making a hole in the space, Proc. Amer. Math. Soc., 114 (1992), pp. 475-476. | Zbl | MR
[8] - , Nonlinear Differential Equations in Abstract Spaces, Pergamon, Oxford (1981). | Zbl | MR
[9] - , The generic property of existence of solutions of differential equations in Banach spaces, J. Differ. Equat., 13 (1973), pp. 1-12. | Zbl | MR
[10] , Nonlinear Operators and Differential Equations in Banach Spaces, Wiley, New York (1976). | Zbl | MR
[11] , Nonlinear Evolution Operators and Semigroups: Applications to Partial Differential Equations, Lecture Notes in Math., No. 1260, Springer, Berlin (1987). | Zbl | MR
[12] , Une équation différentielle sans solution, in: Initiation Seminar on Analysis: 1980/81, Comm. No. C2, 7 pp., Publ. Math. Univ. P. et M. Curie, 46, Univ. Paris VI, Paris (1981). | Zbl | MR
[13] , A survey of local existence theories for abstract nonlinear initial value problems, in: Nonlinear Semigroups, PDE's and Attractors, edited by T. L. GILL and W. W. ZACHARY, Lecture Notes in Mathematics, No. 1394, Springer, Berlin (1989), pp. 136-184. | Zbl | MR
[14] , Zwei Existenzsätze für gewöhnliche Differentialgleichungen in Banachräumen, Comment. Math. Prace Mat., 28 (1989), pp. 345-353. | Zbl | MR
[15] , Existenzsätze für gewöhnliche Differentialgleichungen in Banachräumen, Funkcial. Ekvac., 35 (1992), pp. 199-222. | Zbl | MR





