(Q, T)‐affine‐periodic solutions and Pseudo (Q, T)‐affine‐periodic solutions for Dynamic Equations on Time Scales

Abstract

The aim of this paper is to study the existence of Q , T -affine-periodic solutions for affine-periodic systems on time scales of the type x Δ t = A t x t + f t and x Δ t = A t x t + g t , x t , t ∈ T , assuming that corresponding homogeneous equation of this system admits exponential dichotomy. The result is also extended to the case of pseudo Q , T -affine-periodic solutions. The main approaches are based on the Banach contraction mapping principle, but certain technical aspects on time scales are more complicated.

Affine‐periodic orbits for linear dynamical systems

“…Moreover, they study the linear stability of the classical planar three‐body problem. Guo et al 26 study the affine‐periodic systems on time scales. With some suitable assumptions, they obtain the existence of $$$ \left(Q,T\right) $$$‐affine‐periodic solutions by contraction mapping principle.…”

Joule–Thomson expansion of a specific black hole in f(R) gravity coupled with Yang–Mills field

“…In classical thermodynamics, the Joule-Thomson expansion refers to the process of gas expanding from high pressure to low pressure through porous plugs, which is an isenthalpy process. Subsequently this creative work has been extended to all kinds of the black holes, such as d-dimensional charged AdS black hole [41], quintessence RN-AdS black hole [42], holographic superfluid [43], charged AdS black hole in f (R) gravity [44], AdS black hole with a global monopole [45], charged AdS black hole in Lovelock gravity [46], Gauss-Bonnet black hole [47], regular (Bardeen)-AdS black hole [48], etc [49][50][51][52][53][54].…”