Abstract and Applied Analysis

Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales

Taixiang Sun, Hongjian Xi, Xiaofeng Peng, and Weiyong Yu

Full-text: Open access

Abstract

We study the higher-order neutral dynamic equation { a ( t ) [ ( x ( t ) p ( t ) x ( τ ( t ) ) ) Δ m ] α } Δ + f ( t , x ( δ ( t ) ) ) = 0 for t [ t 0 , ) T and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 428963, 16 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620766

Digital Object Identifier
doi:10.1155/2010/428963

Mathematical Reviews number (MathSciNet)
MR2720026

Zentralblatt MATH identifier
1205.34136

Citation

Sun, Taixiang; Xi, Hongjian; Peng, Xiaofeng; Yu, Weiyong. Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales. Abstr. Appl. Anal. 2010 (2010), Article ID 428963, 16 pages. doi:10.1155/2010/428963. https://projecteuclid.org/euclid.aaa/1288620766


Export citation