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- Publisher
- de Gruyter
- Copyright
- © 2020 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1572-9176
- eISSN
- 1572-9176
- DOI
- 10.1515/gmj-2019-2055
- Publisher site
- See Article on Publisher Site
Abstract
AbstractConsider the first-order linear differential equation with several non-monotone retarded arguments x′(t)+∑i=1mpi(t)x(τi(t))=0{x^{\prime}(t)+\sum_{i=1}^{m}p_{i}(t)x(\tau_{i}(t))=0}, t≥t0{t\geq t_{0}}, where the functions pi,τi∈C([t0,∞),ℝ+){p_{i},\tau_{i}\in C([t_{0},\infty),\mathbb{R}^{+})}, for every i=1,2,…,m{i=1,2,\ldots,m}, τi(t)≤t{\tau_{i}(t)\leq t}for t≥t0{t\geq t_{0}}and limt→∞τi(t)=∞{\lim_{t\to\infty}\tau_{i}(t)=\infty}.New oscillation criteria which essentially improve the known results in the literature are established.An example illustrating the results is given.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Sep 1, 2020