2025, Vol. 6, Issue 2, Part C
Delay differential equations of fourth order with middle term: Oscillation properties with sublinear neutral term
Author(s): PVHS Sai Kumar
Abstract: The aim of this paper is to derive the oscillation properties of fourth order delay differential equation with middle term of the form (a(t)〖〖((m(t)x(t)+p(t)x^α (τ(t)))〗^''')〗^γ )^'+r(t) 〖〖((m(t)x(t)+p(t)x^α (τ(t)))〗^''')〗^γ+q(t) x^β (σ(t))=0 (1) is considered. By applying the Riccati Transformation technique and new comparison principles, we establish sufficient conditions for the oscillation of the equation is obtained under the condition that R(t)=∫_(t_0)^∞▒〖1/(a(s)) exp(-∫_(t_0)^s▒(r(u))/(a(u)) du)ds=∞〗 as t→∞ Also, the results are an extension and simplification as well as improvement of the previous results.
DOI: https://doi.org/10.22271/math.2025.v6.i2c.252
Pages: 516-523 | Views: 206 | Downloads: 66
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How to cite this article:
PVHS Sai Kumar. Delay differential equations of fourth order with middle term: Oscillation properties with sublinear neutral term. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(2): 516-523. DOI: 10.22271/math.2025.v6.i2c.252
