Oscillation of half-linear differential equations with asymptotically almost periodic coefficients

Advances in Difference Equations

Michal Vesel¹  Petr Hasil² 

[1] Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic;Department of Mathematics, Mendel University in Brno, Brno, Czech Republic

关键词: half-linear equations;    oscillation theory;    almost periodicity;    asymptotic almost periodicity;    conditional oscillation;    oscillation constant;   

DOI  :  10.1186/1687-1847-2013-122

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate second-order half-linear differential equations with asymptotically almost periodic coefficients. For these equations, we explicitly find an oscillation constant. If the coefficients are replaced by constants, our main result (concerning the conditional oscillation) reduces to the classical one. We also mention examples and concluding remarks. MSC:34C10, 34C15.

【 授权许可】

CC BY