Weighted differential inequality and oscillatory properties of fourth order differential equations

Journal of Inequalities and Applications

Yaudat Sultanaev¹  Aigerim Kalybay²  Ryskul Oinarov³ 

[1] Akmulla Bashkir State Pedagogical University, 3a Oktyabrskoy Revolutsii Street, 450008, Ufa, Russia;KIMEP University, 4 Abay Avenue, 050010, Almaty, Kazakhstan;L.N. Gumilyov Eurasian National University, 5 Munaytpasov Street, 010008, Nur-Sultan, Kazakhstan;

关键词: Fourth order differential equation;    Oscillation;    Nonoscillation;    Variational principle;    Weighted inequality;    26D10;    34C10;    26D15;    34C15;   

DOI  :  10.1186/s13660-021-02731-7

来源: Springer

【 摘 要 】

In this paper, we investigate the oscillatory properties of two fourth order differential equations in dependence on boundary behavior of its coefficients at infinity. These properties are established based on two-sided estimates of the least constant of a certain weighted differential inequality.

【 授权许可】

CC BY