Abstract and Applied Analysis

Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments

B. Baculíková

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Abstract

The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [ a ( t ) [ x ( t ) ] γ ] = q ( t ) f ( x [ τ ( t ) ] ) + p ( t ) h ( x [ σ ( t ) ] ) . Both cases a - 1 / γ ( s ) d s = and a - 1 / γ ( s ) d s < are considered. We deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.

Article information

Source
Abstr. Appl. Anal., Volume 2011, Number 1 (2011), Article ID 857860, 15 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171394

Digital Object Identifier
doi:10.1155/2011/857860

Mathematical Reviews number (MathSciNet)
MR2776748

Zentralblatt MATH identifier
1217.34109

Citation

Baculíková, B. Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments. Abstr. Appl. Anal. 2011 (2011), no. 1, Article ID 857860, 15 pages. doi:10.1155/2011/857860. https://projecteuclid.org/euclid.aaa/1313171394


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