Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

被引：2
|
作者：
Jadlovska, Irena [1 ]
Chatzarakis, George E. [2 ]
Tunc, Ercan [3 ]
机构：
[1] Slovak Acad Sci, Math Inst, Gresakova 6, SK-04001 Kosice, Slovakia
[2] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educ, Athens 15122, Greece
[3] Tokat Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60240 Tokat, Turkiye
来源：
MATHEMATICA SLOVACA | 2024年 / 74卷 / 03期
关键词：
Second-order differential equation; functional argument; unbounded neutral coefficient; oscillation; CRITERIA; MODEL; EVEN;
D O I：
10.1515/ms-2024-0049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved monotonicity properties of nonoscillatory solutions. Our results rely on ideas that essentially improve standard techniques for the investigation of differential equations with unbounded neutral terms with delay or advanced argument. The core of the method is presented in a form that suggests further generalizations for higher-order differential equations with unbounded neutral coefficients.
引用
收藏
页码：637 / 664
页数：28
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