Article
Keywords:
semilinear equation of evolution; mild solutions; measure of noncompactness; sublinear measure
Summary:
References:
[1] Banaś J., Goebel K.:
Measures of Noncompactness in Banach Spaces. Lect. Notes Pure Appl. Math. Marcel Dekker New York and Basel (1980).
MR 0591679
[2] Banaś J., Hajnosz A., Wȩdrychowicz S.:
Some generalization of Szufla's theorem for ordinary differential equations in Banach space. Bull. Pol. Acad. Sci., Math. XXIX , No 9-10 (1981), 459-464.
MR 0646334
[3] Coddington E.A., Levinson N.:
Theory of Ordinary Differential Equations. Mc Graw-Hill New York-Toronto-London (1955).
MR 0069338 |
Zbl 0064.33002
[4] Friedman A.:
Partial Differential Equations. Krieger Publishing Company Huntington New York (1976).
MR 0454266
[5] Kato T.:
Quasi-linear equations of evolution with application to partial differential equations. Lect. Notes Math. Springer Verlag 448 (1975), 25-70.
MR 0407477
[8] Pazy A.:
Semigroup of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag New York (1983).
MR 0710486
[9] Rolewicz S.:
Functional Analysis and Control Theory Linear Systems. Reidel Publishing Company Dordrecht (1987).
MR 0920371 |
Zbl 0633.93002