epub |eng | | Author:Unknown

epub |eng | | Author:Adam Kubica & Katarzyna Ryszewska & Masahiro Yamamoto

epub |eng | | Author:Giovanni Falcone

epub |eng | 2018-11-15 | Author:John R Graef, Johnny Henderson, Lingju Kong and Xueyan Sherry Liu

Theorem 5.3. Let x1(t), x2(t), …, xm(t) be solutions of (5.1). Then, if there are constants α1, α2, …, αm and a point t0 ∊ I such that , then ...

epub, pdf |eng | | Author:Thomas Alazard & Claude Zuily

epub |eng | | Author:Alberto Cabada

Remark 1.8.17. For the case μ = −1, we have that if the equation Tx −λ x = y ≻ 0 has a positive solution x ≻ 0 then λ ...

epub |eng | | Author:Jianhai Bao, George Yin & Chenggui Yuan

As a result, the desired assertion follows from the Gronwall inequality. Lemma 3.12 Under (A3) and (H1)–(H2), (3.35) for any , and Proof For notation simplicity, set By (3.31), one ...

epub |eng | | Author:Nikos I. Kavallaris & Takashi Suzuki

When an electric current, with local current density flows through the electrodes and the sheet metals, then owning to a significantly higher resistivity in the contact area a rapid heating ...

mobi |eng | 2012-03-11 | Author:Morris W. Hirsch & Stephen Smale & Robert L. Devaney [Hirsch, Morris W.]

As an example, all nonzero solutions of the undamped harmonic oscillator equation are periodic solutions. Like equilibrium points that are asymptotically stable, periodic solutions may also attract other solutions. That ...

epub |eng | | Author:Feng-Yu Wang

where W(t) is a cylindrical Brownian motion on with respect to a complete filtered probability space . See [10, 36, 72, 73] for equations with a time-dependent linear operator and ...

epub, pdf |eng | 2012-03-11 | Author:Morris W. Hirsch

10.1 Limit Sets We begin by describing the limiting behavior of solutions of systems of differential equations. Recall that is an ω-limit point for the solution through X if there ...

epub |eng | | Author:Michael Reissig & Michael Ruzhansky

and evaluate the derivatives of the function (24): By setting t=T=4ℓ(n+1) and by using the terminal conditions (25), we obtain The half-sum and half-difference of the last two relations provide ...