Publication result detail

Existence and Asymptotic Estimates of Solutions of Singular Cauchy Problems for Certain Classes of Integrodifferential Equations

ŠMARDA, Z.

Original Title

Existence and Asymptotic Estimates of Solutions of Singular Cauchy Problems for Certain Classes of Integrodifferential Equations

English Title

Existence and Asymptotic Estimates of Solutions of Singular Cauchy Problems for Certain Classes of Integrodifferential Equations

Type

Paper in proceedings (conference paper)

Original Abstract

asymptotic estimates of solution formulas are studied for certain classes integrodifferential equations in a neighbourhood of a singular point. Solutions are located in a domain homeomorphic to a cone having vertex coinciding with the initial point. The proofs are based on a combination of the topological method of Wazewski and the Schauder fixed point theorem or on the Banach contraction principle, respectively.

English abstract

asymptotic estimates of solution formulas are studied for certain classes integrodifferential equations in a neighbourhood of a singular point. Solutions are located in a domain homeomorphic to a cone having vertex coinciding with the initial point. The proofs are based on a combination of the topological method of Wazewski and the Schauder fixed point theorem or on the Banach contraction principle, respectively.

Keywords

Integodifferential equation

Key words in English

Integodifferential equation

Authors

ŠMARDA, Z.

RIV year

2012

Released

28.10.2011

Location

Sanghai- Čína

ISBN

978-1-61284-363-6

Book

Proceedings 2011 World Congress on Engineering and Technology

Pages from

225

Pages to

229

Pages count

4

BibTex

@inproceedings{BUT74275,
  author="Zdeněk {Šmarda}",
  title="Existence and Asymptotic Estimates of Solutions of Singular Cauchy Problems for Certain Classes of Integrodifferential Equations",
  booktitle="Proceedings 2011 World Congress on Engineering and Technology",
  year="2011",
  number="vol.1",
  pages="225--229",
  address="Sanghai- Čína",
  isbn="978-1-61284-363-6"
}