具有强迫项的二阶半线性微分方程的区间振动准则

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 411-417.

具有强迫项的二阶半线性微分方程的区间振动准则

Inte1. Department of Mathematics, Nanyang TV and Radio University, Nanyang 473066, China; 2. Department of Mathematics, Nanyang Institute of Technology, Nanyang 473066, China

收稿日期:2004-12-20 出版日期:2005-12-30 发布日期:2024-01-05
作者简介:SHEN Chun-xue(1965-),female,native of Nanyang,Henan,a lecturer of Nanyang TV and Radio University,engages in differential equations and applications.

Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations

Inte1. Department of Mathematics, Nanyang TV and Radio University, Nanyang 473066, China; 2. Department of Mathematics, Nanyang Institute of Technology, Nanyang 473066, China

Received:2004-12-20 Online:2005-12-30 Published:2024-01-05
About author:SHEN Chun-xue(1965-),female,native of Nanyang,Henan,a lecturer of Nanyang TV and Radio University,engages in differential equations and applications.

摘要/Abstract

摘要： By employing a generalized Riccati technique and an integral averaging technique, new interval oscillation criteria are established for the forced second-order half-linear differential equation [r(t)|x’(t)|^α-1x’(t)]’+q(t)|x(t)|^α-1x(t)=e(t).

关键词: Half-linear differential equations, oscillation, interval criteria, generalized Ric- cati technique

Abstract: By employing a generalized Riccati technique and an integral averaging technique, new interval oscillation criteria are established for the forced second-order half-linear differential equation [r(t)|x’(t)|^α-1x’(t)]’+q(t)|x(t)|^α-1x(t)=e(t).

Key words: Half-linear differential equations, oscillation, interval criteria, generalized Ric- cati technique

中图分类号:

O175.7

申春雪, 张洪奎. 具有强迫项的二阶半线性微分方程的区间振动准则[J]. 数学季刊, 2005, 20(4): 411-417.

Interval CriterSHEN Chun-xue, ZHANG Hong-kui. Interval Criteria for Oscillation of Forced Second-order Half-linear Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 411-417.

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