Difference Equations, Second Edition, presents a practical introduction to this important field
of solutions for engineering and the physical sciences. Topic coverage includes numerical …

We consider the seond order differential system $(1) Y''+ Q (t) Y= 0$, where $ Q $, $ Y $ are
$ n\times n $ matrices with $ Q= Q (t) $ a continuous symmetric matrix-valued function, $ t\in …

We consider the second order matrix differential systems (1) $(P (t) Y')'+ Q (t) Y= 0$ and (2) $
Y''+ Q (t) Y= 0$ where $ Y,\; P $ and $ Q $ are $ n\times n $ real continuous matrix functions …

A time scales version of a Wirtinger-type inequality and applications - ScienceDirect Skip to main
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[P (t) y'(t) 1+ Q (t) Y (f)= 0 for tE [0, co),(1.1) where P and Q are nxn real, symmetric, matrix-
valued functions on [0, co) and y is an n-column vector. We also assume that P (f) is positive …

The study begun in (JW Hooker and WT Patula, J. Math. Anal. Appl. 82 (1981), 451–462) of
oscillation and non-oscillation of solutions of second-order linear homogeneous difference …

We present here some results pertaining to the oscillatory behavior at infinity of the vector
differential equation\[y''+ Q (t) y= 0,\quad t\in [0,\infty)\], where $ Q (t) $ is a real continuous …

We establish new oscillation criteria for linear Hamiltonian systems using monotone
functionals on a suitable matrix space. In doing so we develop new criteria for oscillation …

Some new oscillation criteria are established for the matrix linear Hamiltonian system X′=
A (t) X+ B (t) Y, Y′= C (t) X− A∗(t) Y under the hypothesis: A (t), B (t)= B∗(t)> 0, and C (t) …

For linear Hamiltonian systems, even for self-adjoint second order differential systems, we
obtain new oscillation results without the assumptions which have been required for related …