Approximation structures and applications to evolution equations

Duma, Adrian; Vladimirescu, Cristian

Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 685-696 / Harvested from Project Euclid

Résumé

We discuss various properties of the nonlinear $A$ -proper operators as well as a generalized Leray-Schauder principle. Also, a method of approximating arbitrary continuous operators by $A$ -proper mappings is described. We construct, via appropriate Browder-Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach spaces.

Publié le : 2003-06-30
Classification: 35F10, 47H09, 47H11

@article{1057257793,
     author = {Duma, Adrian and Vladimirescu, Cristian},
     title = {Approximation structures and applications to evolution equations},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 685-696},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1057257793}
}

Duma, Adrian; Vladimirescu, Cristian. Approximation structures and applications to evolution equations. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  685-696. http://gdmltest.u-ga.fr/item/1057257793/