Publication detail

# Unbounded solutions of the equation $\dot y(t)=\sum_{i=1}^{n}\beta_{i}$ (t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$DIBLÍK, J. RŮŽIČKOVÁ, M. CHUPÁČ, R. Original Title Unbounded solutions of the equation$\dot y(t)=\sum_{i=1}^{n}\beta_{i}$(t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$

English Title

Unbounded solutions of the equation $\dot y(t)=\sum_{i=1}^{n}\beta_{i}$ (t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$Type journal article - other Language en Original Abstract Asymptotic behavior of solutions of first-order differential equation with deviating arguments in the form$\dot y(t)=\sum_{i=1}^{n}\beta_{i}(t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$is discussed for$t\to\infty$. A criterion for representing solutions in exponential form is proved. Inequalities for solution estimation are given. Sufficient conditions for the existence of unbounded solutions are derived. A relevant illustrative example is given as well. Known results are discussed and compared. English abstract Asymptotic behavior of solutions of first-order differential equation with deviating arguments in the form$\dot y(t)=\sum_{i=1}^{n}\beta_{i}(t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$is discussed for$t\to\infty$. A criterion for representing solutions in exponential form is proved. Inequalities for solution estimation are given. Sufficient conditions for the existence of unbounded solutions are derived. A relevant illustrative example is given as well. Known results are discussed and compared. Keywords Unbounded solution; exponential solution; discrete delays RIV year 2013 Released 03.12.2013 Publisher Elsevier Science Publishing Co Location USA ISBN 0096-3003 Periodical APPLIED MATHEMATICS AND COMPUTATION Year of study 2013 Number 221 State US Pages from 610 Pages to 619 Pages count 10 Documents BibTex  @article{BUT103938, author="Josef {Diblík} and Miroslava {Růžičková} and Radoslav {Chupáč}", title="Unbounded solutions of the equation$\dot y(t)=\sum_{i=1}^{n}\beta_{i}$(t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$",
annote="Asymptotic behavior of solutions of first-order differential equation with deviating arguments in the form $\dot y(t)=\sum_{i=1}^{n}\beta_{i}(t)\left[y(t-\delta_{i})-y(t-\tau_{i})\right]$ is discussed for  $t\to\infty$. A criterion for representing solutions in exponential form is proved. Inequalities for solution estimation are given. Sufficient conditions for the existence of unbounded solutions are derived. A relevant illustrative example is given as well. Known results are discussed and compared.",
}