Publication detail

Monotone operators. A survey directed to applications to differential equations

FRANCŮ, J.

English title

Monotone operators. A survey directed to applications to differential equations

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

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

Released

1990-01-01

Publisher

Academia

ISSN

0862-7940

Volume

35

Pages from–to

257–301

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"
}