Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals

被引：5

作者：

Liu, Haidong ^{[1
]}

Ma, Cuiqin ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

D O I：

10.1155/2013/530457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish several oscillation criteria for a class of second-order neutral delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals. Our results extend and unify a number of other existing results and handle the cases which are not covered by known criteria. The new results we obtain are of significance because the equations we study allow an infinite number of nonlinear terms and even a continuum of nonlinearities.

引用

页数：9

共 18 条

[11]

LI TX, 2009, ADV DIFFER EQU-NY

[12] New oscillation criteria for second-order neutral dynamic equations on time scales via Riccati substitution [J].

Saker, S. H. ;

O'Regan, Donal .

HIROSHIMA MATHEMATICAL JOURNAL, 2012, 42 (01) :77-98

[13] Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales [J].

Saker, Samir H. ;

O'Regan, Donal ;

Agarwal, Ravi P. .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (09) :1409-1432

[14] Oscillation of second-order delay differential equations with mixed nonlinearities [J].

Sun, Yuan Gong ;

Meng, Fan Wei .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (01) :135-139

[15] Interval Oscillation Criteria for Second-Order Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals [J].

Sun, Yuangong .

ABSTRACT AND APPLIED ANALYSIS, 2011,

[16] Some oscillation results for second order nonlinear dynamic equations of neutral type [J].

Tripathy, A. K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1727-E1735

[17] Oscillation criteria for second-order nonlinear neutral variable delay dynamic equations [J].

Wu, Hong-Wu ;

Zhuang, Rong-Kun ;

Mathsen, Ronald M. .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 178 (02) :321-331

[18] Oscillation of second-order nonlinear neutral dynamic equations on time scales [J].

Zhang, Shao-Yan ;

Wang, Qi-Ru .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) :2837-2848

← 1 2 →