## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2012 (2012), Article ID 392386, 12 pages.

### Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments

**Full-text: Open access**

#### Abstract

This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2012 (2012), Article ID 392386, 12 pages.

**Dates**

First available in Project Euclid: 28 March 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1364475907

**Digital Object Identifier**

doi:10.1155/2012/392386

**Mathematical Reviews number (MathSciNet)**

MR2994926

**Zentralblatt MATH identifier**

1261.34055

#### Citation

Tunç, Cemil. Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments. Abstr. Appl. Anal. 2012 (2012), Article ID 392386, 12 pages. doi:10.1155/2012/392386. https://projecteuclid.org/euclid.aaa/1364475907

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