EXISTENCE RESULTS FOR SYSTEMS OF NONLINEAR EVOLUTION INCLUSIONS

被引：0

作者：

Precup, Radu ^{[1
]}

Viorel, Adrian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

来源：

FIXED POINT THEORY | 2010年 / 11卷 / 02期

关键词：

Abstract parabolic evolution inclusion; parabolic system; initial value problem; fixed point theorem; vector-valued norm;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence results for semilinear systems of abstract evolution inclusions are established by means of Nadler, Bohnenblust-Karlin and Leray-Schauder fixed point theorems and a new technique for the treatment of systems based on vector-valued metrics and convergent to zero matrices.

引用

页码：337 / 346

页数：10

共 14 条

[1]

[Anonymous], 2003, FIXED POINT THEOR-RO, DOI DOI 10.1007/978-0-387-21593-8

[2]

[Anonymous], 1970, ITERATIVE SOLUTION N

[3]

[Anonymous], 1985, NONLINEAR FUNCTIONAL

[4]

Bucur A, 2009, FIXED POINT THEORY, V10, P19

[5]

Cazenave T., 1998, OXFORD LECT SERIES M, V13

[6]

Goldstein J. A., 1985, SEMIGROUPS LINEAR OP

[7]

Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]

[8]

Precup R., 2008, Int. J. Pure Appl. Math, V47, P199

[9]

Precup R., 2002, Methods in Nonlinear Integral Equations

[10] The role of matrices that are convergent to zero in the study of semilinear operator systems [J].

Precup, Radu .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :703-708

← 1 2 →