PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)Vol. 36(50), pp. 57--65 (1984)
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PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 36(50), pp. 57--65 (1984) |
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ON NONLINEAR EQUATIONS OF EVOLUTION IN BANACH SPACESStanislav SzuflaInstitute of Mathematics, A. Mickiewicz University, Poznan, PolandAbstract: The paper contains an existence theorem and a Kneser-type theorem for the problem $x'=A(t)x+f(t,x)$, $x(0)=x_0$, where $\{A(t)\}_{t\in[0,d]}$ is a family of linear operator generating an evolution operator $U(t,s)$, and $f$ is a continuous function satisfying a Kamke condition with respect to the measure of noncompactness. Classification (MSC2000): 34G05 Full text of the article:
Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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