Publication detail

Monotone operators. A survey directed to applications to differential equations

FRANCŮ, J.

Original Title

Monotone operators. A survey directed to applications to differential equations

Type

journal article - other

Language

English

Original Abstract

The paper deals with the existence of solutions to equations of the form Au=b with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions S and M. The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition (M)o. The second part which has a character of survey compares various types of continuity and monotony and introduces further results. In the third part application of this theory to proofs of existence theorems for boundary value problems for ordinary and partial differential equations is illustrated by examples.

Keywords

monotone operator, pseudomonotone operator, operators satisfying S, M condition, existence theorems, boundary value problems, ordinaty and partial differential equation, weak solution.

Authors

FRANCŮ, J.

Released

1. 1. 1990

Publisher

Academia

ISBN

0862-7940

Periodical

APPLICATIONS OF MATHEMATICS

Year of study

35

State

Czech Republic

Pages from

257

Pages to

301

Pages count

45

BibTex

@article{BUT42615,
  author="Jan {Franců}",
  title="Monotone operators. A survey directed to applications to differential equations",
  journal="APPLICATIONS OF MATHEMATICS",
  year="1990",
  volume="35",
  pages="257--301",
  issn="0862-7940"
}