Sentence examples for functional equations such as from inspiring English sources
In this paper, we consider the stability of generalized Cauchy functional equations such as (1.6) (1.6).
In this paper, we consider the stability of generalized Cauchy functional equations such as.
Many important nonlinear problems of mathematics reduce to nonlinear functional equations such as nonlinear integral equations and boundary value problems for nonlinear ordinary or partial differential equations which can be translated in terms of a fixed point equation T x = x for a given nonlinear mapping T on a Banach space or a metric space.
A number of functional integral equations, such as the following: x ( t ) = f 1 ( t, ∫ 0 t k ( t, s ) f 2 ( s, x ( s ) ) d s ), t ∈ R ; (4.1).
It develops dynamical system approaches to various evolutionary equations such as difference, ordinary, functional, and partial differential equations, and pays more attention to periodic and almost periodic phenomena.
Additionally, this approximated method can solve various different differential equations such as integral, difference, integro-differential and functional differential equations.
Some classical nonlinear functional methods have been applied to investigate solvability of boundary value problems for fractional differential equations such as fixed point theorems (see [6 9]), coincidence degree theory (see [10 12]), etc.
Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations.
Risk equations such as the Framingham equation may also be used to derive these values.
Other equations, such as the MDRD equation, may be superior in estimating the GFR but the best eGFR equation for East African adults has not yet been determined.
