Sentence examples for on a compact interval from inspiring English sources

In the last section we also outline possible applications of our approach to boundary value problems on a compact interval (like the Sturm-Liouville one).

We present existence and β-Ulam-Hyers stability results on a compact interval.

The term 'chaos' was first used by Li and Yorke [14] for a map on a compact interval.

In Section 3, we mainly prove a generalized Ulam-Hyers-Rassias stability result for equation (2) on a compact interval.

The multi-point boundary value problems for ordinary differential equations have been well studied, especially on a compact interval.

The results are analog to those obtained by Dette and Studden (2005) for moment matrices of matrix measures on a compact interval.

Let (J=[0,T]) be a compact interval on the real axis (mathbb {R}).

Let be a compact interval.

Let ([a,b]) be a compact interval.

Let (winmathcal{F}(C^{2}+)). (1) If f is a function having bounded variation on any compact interval and if int_{-infty}^{infty} w(x biglvert df(x bigrvert < infty, then there exists a constant (C>0) such that, for every (t>0), omega_{1}(f,w,t le C tint_{-infty}^{infty} w(x biglvert df(x bigrvert, and so E_{1,n}(w,f le Cfrac{a_{n}}{n}int_{-infty}^{infty} w(x biglvert df(x bigrvert.

If f is a function having bounded variation on any compact interval and if int_{-infty}^{infty} w(x biglvert df(x bigrvert < infty, then there exists a constant (C>0) such that, for every (t>0), omega_{1}(f,w,t le C tint_{-infty}^{infty} w(x biglvert df(x bigrvert, and so E_{1,n}(w,f le Cfrac{a_{n}}{n}int_{-infty}^{infty} w(x biglvert df(x bigrvert.