𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Avoidance Control on Time Scales

✍ Scribed by E. Pawłuszewicz; D. F. M. Torres


Publisher
Springer
Year
2010
Tongue
English
Weight
466 KB
Volume
145
Category
Article
ISSN
0022-3239

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Integration on time scales
✍ Gusein Sh. Guseinov 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 185 KB

In this paper we study the process of Riemann and Lebesgue integration on time scales. The relationship of the Riemann and Lebesgue integrals is considered and a criterion for Riemann integrability is established.

A note on avoidance control
✍ G. Leitmann; J. Skowronski 📂 Article 📅 1983 🏛 John Wiley and Sons 🌐 English ⚖ 310 KB

Earlier work has dealt with controls which guarantee that every trajectory of a given dynamical system remains outside (avoids) a prescribed set (anti-target) for all time. In the present treatment, we permit the intersection of the anti-target but consider two cases of avoidance: the anti-target mu

Hamiltonian Systems on Time Scales
✍ Calvin D. Ahlbrandt; Martin Bohner; Jerry Ridenhour 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 145 KB

Linear and nonlinear Hamiltonian systems are studied on time scales . We unify symplectic flow properties of discrete and continuous Hamiltonian systems. A chain rule which unifies discrete and continuous settings is presented for our so-called alpha derivatives on generalized time scales. This chai

Global Bifurcation on Time Scales
✍ Fordyce A. Davidson; Bryan P. Rynne 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 130 KB

We consider the structure of the solution set of a nonlinear Sturm-Liouville boundary value problem defined on a general time scale. Using global bifurcation theory we show that unbounded continua of nontrivial solutions bifurcate from the trivial solution at the eigenvalues of the linearization, an

Eventual disconjugacy on time scales
✍ J.M. Davis; K.R. Prasad 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

Eventual disconjugacy of the time scale differential equation yAA(t) + pl(t)yA(t) + p2(t)y(t) = 0 is established. These nonoscillation theorems are achieved by imposing integrability conditions on P],P2.