𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hermite’s equations on time scales

✍ Scribed by Dorota Mozyrska; Ewa Pawłuszewicz

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
349 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

We present the exact formula for multiplication by a polynomial of degree one. The obtained results are applied in solving a second-order linear equation of Hermite's type on time scales.

📜 SIMILAR VOLUMES

Ważewski’s method for systems of dynamic
Ważewski’s method for systems of dynamic equations on time scales
✍ Josef Diblík; Miroslava Růžičková; Zdeněk Šmarda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 287 KB

In the paper the Ważewski's method, which is well-known for ordinary differential equations, is developed for a system of dynamic equations on an arbitrary time scale. Sufficient conditions guaranteeing the existence of at least one solution with a graph staying in a previously defined open set are

Oscillation of delay differential equati
Oscillation of delay differential equations on time scales
✍ B.G Zhang; Xinghua Deng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 614 KB

Consider the following equation: where t is in a measure chain. We apply the theory of measure chains to investigate the oscillation and nonoscillation of the above equation on the basis of some well-known results. And in some sense, we show a method to unify the delay differential equation and del

Ostrowski’s inequality on time scales
Ostrowski’s inequality on time scales
✍ Cheh-Chih Yeh 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 164 KB

A time scale version of Ostrowski's inequality is given as follows: Let f, g ∈ C r d ([a, b], R) be two linearly independent functions, then for any α ∈ [-1, 1] and any arbitrary