Properties of an Unbounded Solutions of a Fourth Order Neutral Dynamic Equations

8 Apr
Posted on Author

Authors: Ramireddy Pasupula

Abstract: In this paper, the author studied, the properties of an unbounded solutions of a class of fourth order dynamic equation of the form (r(t) (x(t)+p(t)x(α(t)))^(∆^2 ) )^(∆^2 )+g(t)G(x(β(t)))-h(t)H(x(γ(t)))=0 (H) for 〖t∈[t_0,┤ ├ ∞)〗_T where 𝕋 is a time scale with⁡sup⁡〖T=+∞〗,t_0 (≥0)∈T are studied under the assumption H_0 ∫_(t_0)^∞▒〖t/(r(t)) ∆t=∞ 〗and ((〖H_0〗^' ∫_(t_0)^∞▒〖t/r(t) ∆t<∞〗 for various ranges of p(t).

DOI: https://doi.org/10.5281/zenodo.19468299