Exact(3)
Block and Fodor also note that multiple realizability at the level of physical description is a common characteristic of ordinary functional kinds, like mousetraps and valve lifters.
In this paper, we try to fill this gap and establish the existence of positive T-periodic solutions of (1.1) using the Guo-Krasnosel'skii fixed point theorem on compression and expansion of cones, which has been used to study positive solutions for systems of ordinary, functional differential equations [14 16].
Very recently Benchohra et al. [49], and Ouahab [60] have considered some classes of ordinary functional differential inclusions with delay, and in [6, 61] Agarwal et al. considered a class of boundary value problems for differential inclusion involving Caputo fractional derivative of order.
Similar(57)
Kate supplies William with exactly what he's missing: the ideal of an ordinary, functional family.
In particular, for more results on the stability, boundedness, convergence, etc. of ordinary or functional differential equations of fourth order, see the book of Reissig et al. [3] as a good survey for the works done by 1974 and the papers of Burton [4], Cartwright [5], Ezeilo [6 9], Harrow [10, 11], Tunç [12 18], Remili et al. [19 23], Wu [24] and others and the references therein.
I don't think I'd do that again though – I write about ordinary people and I want my characters to have ordinary, functional names.
Professor Kiguradze's scientific interests cover a wide range of topics belonging to qualitative theory of ordinary and functional-differential equations.
By employing the method of cone-valued Lyapunov functions, Akpan and Akinyele [11], EL-Sheikh and Soliman [12], Wang and Geng [13] investigated the stability and the ϕ 0 -stability of ordinary differential systems, functional differential equations and difference equations, respectively.
In consequence, the topic of fractional (ordinary, partial, functional) differential equations has developed into a hot research area; for example, see [16 42].
This definition of the homogeneous equation allows researchers to build an analog of the classical general theory of ordinary differential equations (ODEs) for functional differential equations using the key notions of the classical ODEs theory, and it is based on the fact that the space of the solutions of the second order equation (2.3), (2.4) becomes two-dimensional.
These concepts have been widely used in the investigation of ordinary differential equations, partial differential equations, functional differential equations and fractional differential equations.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com