<abstract xmlns="http://www.w3.org/1999/xhtml"> The paper analyzes the asymptotic bounds of solutions of differential equation with power coefficients, power delays and a forcing term in the form <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-011-0009-1#0007_graphic1.png"></inline-graphic></inline-formula>, where a0 is a negative real, λ0 = 1 and <inline-formula><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="../graphic/v10127-011-0009-1#0007_graphic2.png"></inline-graphic></inline-formula>. Some additional assumptions on power coefficients and a forcing term f(t) are considered to obtain an asymptotic estimate for solutions of the studied differential equation. The application of the result is illustrated by several examples.</abstract>

The paper analyzes the asymptotic bounds of solutions of differential equation with power coefficients, power delays and a forcing term in the form , where a0 is a negative real, λ0 = 1 and . Some additional assumptions on power coefficients and a forcing term f(t) are considered to obtain an asymptotic estimate for solutions of the studied differential equation. The application of the result is illustrated by several examples.

Asymptotic estimate for differential equation with power coefficients and power delays

Institute of Mathematics FME BUT Technick´a 2 CZ–616-69 Brno CZECH REPUBLIC

Tatra Mountains Mathematical Publications

The paper analyzes the asymptotic bounds of solutions of differential equation with power coefficients, power delays and a forcing term in the form , where a0...

Asymptotic estimate for differential equation with power coefficients and power delays

Published Online: Nov 13, 2012

Page range: 91 - 99

DOI: https://doi.org/10.2478/v10127-011-0009-1

Keywords
asymptotic estimate, delay differential equation.

This content is open access.

Asymptotic estimate for differential equation with power coefficients and power delays

Published Online: Nov 13, 2012

Page range: 91 - 99

DOI: https://doi.org/10.2478/v10127-011-0009-1

Keywordsasymptotic estimate, delay differential equation.

This content is open access.

Keywords
asymptotic estimate, delay differential equation.