zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Lyapunov inequality for linear Hamiltonian systems on time scales. (English) Zbl 1076.37053
Summary: The principal aim of this paper is to state and to prove some Lyapunov inequalities for linear Hamiltonian systems on an arbitrary time scale 𝕋, so that the well-known case of differential linear Hamiltonian systems (𝕋=) and the recently developed case of discrete Hamiltonian systems (𝕋=) are unified. Applying these inequalities, a disconjugacy criterion for Hamiltonian systems on time scales is obtained.
MSC:
37J99Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
39A13Difference equations, scaling (q-differences)
39A10Additive difference equations
34A40Differential inequalities (ODE)