The distribution of zeros of oscillatory solutions for second order nonlinear neutral delay differential equations

详细信息    查看全文

• 作者：Hui Li ^{lihui4727@163.com" class="auth_mail" title="E-mail the corresponding author} ; Zhenlai Han ; ^{hanzhenlai@163.com" class="auth_mail" title="E-mail the corresponding author} ; Shurong Sun ^{sshrong@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Oscillation ; Neutral differential equation ; Distribution of zero
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：63
• 期：Complete
• 页码：14-20
• 全文大小：564 K

文摘

In this paper, the distance between adjacent zeros of oscillatory solutions for second order nonlinear neutral delay differential equations where 16302051&_mathId=si2.gif&_user=111111111&_pii=S0893965916302051&_rdoc=1&_issn=08939659&md5=559d9a05c1f92005d5a28801b3dd08c3" title="Click to view the MathML source">z(t)=x(t)+p(t)x(t−τ)$z\left(t\right)=x\left(t\right)+p\left(t\right)x(t-\tau )$ is investigated. By means of inequality techniques, specific function sequences and nonincreasing solutions for corresponding first order differential inequality, some new estimates for the distribution of zeros of oscillatory solutions have been presented, which have extended and improved some known results.