Sentence examples for are given functions from inspiring English sources

where,,, and, are given functions.

; and are given functions to be specified later.

subject to the initial conditions given by (1.1 - 1.2 1.1 - 1.2re given functions.

where ρ, p and q are given functions on an intervalI and f is unknown.

where and are given functions with assumptions that will be given later.

where φ ( x ), ψ ( x ) are given functions in L 2 ( R ).

And g, f : H → H are given functions to be specified later.

where f, g, h are given functions and u is the unknown function to be found.

(1) where (W t)=U theta(t))), f, θ, and V are given functions.

where f, φ, ψ, h, a, c, α and K are given functions.

where are given functions, denotes the Caputo fractional derivative,, and are suitable real constants.