Publication result detail

TESTS FOR BOUNDEDNESS AND EXPONENTIAL STABILITY OF LINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z.

Original Title

TESTS FOR BOUNDEDNESS AND EXPONENTIAL STABILITY OF LINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS

English Title

TESTS FOR BOUNDEDNESS AND EXPONENTIAL STABILITY OF LINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS

Type

WoS Article

Original Abstract

Linear delayed integro-differential scalar equations with un-bounded delays x(t) +a(0)(t)x(t) +(m)Sigma(k=1)a(k)(t)x(hk(t)) +(n)Sigma(l=1)integral(t)(gl(t))Gl(t,s)x(s)ds+f(t) = 0 are considered on a semi-axis [t0,infinity),t0 is an element of R, where x(t) =phi(t) if t R. It is assumed that coefficients ak: [t0,infinity)-> R, delays hk, gl: [t0,infinity)-> R satisfying t & lowast;

English abstract

Linear delayed integro-differential scalar equations with un-bounded delays x(t) +a(0)(t)x(t) +(m)Sigma(k=1)a(k)(t)x(hk(t)) +(n)Sigma(l=1)integral(t)(gl(t))Gl(t,s)x(s)ds+f(t) = 0 are considered on a semi-axis [t0,infinity),t0 is an element of R, where x(t) =phi(t) if t R. It is assumed that coefficients ak: [t0,infinity)-> R, delays hk, gl: [t0,infinity)-> R satisfying t & lowast;

Keywords

FUNCTIONAL-DIFFERENTIAL EQUATIONS; CELLULAR NEURAL-NETWORKS; ASYMPTOTIC-BEHAVIOR; CONVERGENCE; SYSTEMS

Key words in English

FUNCTIONAL-DIFFERENTIAL EQUATIONS; CELLULAR NEURAL-NETWORKS; ASYMPTOTIC-BEHAVIOR; CONVERGENCE; SYSTEMS

Authors

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z.

Released

01.01.2025

Publisher

KHAYYAM PUBL CO INC

Location

ATHENS

ISBN

0893-4983

Periodical

Differential and Integral Equations

Volume

38

Number

1-2

State

United States of America

Pages from

43

Pages to

70

Pages count

28

URL

https://projecteuclid.org/journals/differential-and-integral-equations/volume-38/issue-1_2f_2/Tests-for-boundedness-and-exponential-stability-of-linear-integro-differential/10.57262/die038-0102-43.short

BibTex

@article{BUT198141,
  author="Leonid {Berezansky} and Josef {Diblík} and Zdeněk {Svoboda} and Zdeněk {Šmarda}",
  title="TESTS FOR BOUNDEDNESS AND EXPONENTIAL STABILITY OF LINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS",
  journal="Differential and Integral Equations",
  year="2025",
  volume="38",
  number="1-2",
  pages="43--70",
  doi="10.57262/die038-0102-43",
  issn="0893-4983",
  url="https://projecteuclid.org/journals/differential-and-integral-equations/volume-38/issue-1_2f_2/Tests-for-boundedness-and-exponential-stability-of-linear-integro-differential/10.57262/die038-0102-43.short"
}