Oscillation criteria for second-order matrix dynamic equations on a time scale
نویسندگان
چکیده
منابع مشابه
Oscillation Criteria for Second Order Matrix Dynamic Equations on a Time Scale
We obtain oscillation criteria for a second order self-adjoint matrix differential equation on a measure chain in terms of the eigenvalues of the coefficient matrices and the graininess function. We illustrate our results with some nontrivial examples.
متن کاملOscillation Criteria for Nonlinear Second Order Matrix Differential Equations
Abstract. The object of this paper is to present sufficient conditions for the oscillation of certain solutions of the second order, nonlinear matrix differential equation. The oscillation criteria obtained here improve the recent results of the author and E. C. Tomastik. The methods employed in the paper extend a technique introduced by H. C. Howard and for the special linear version of the no...
متن کاملOscillation criteria for second order nonlinear dynamic equations with impulses
We investigate the oscillatory behavior of the second order nonlinear dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = 0, the forced dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) and the forced-perturbed dynamic equation ` a(x) ́∆ (t) + q(t)x(t) = e(t) + p(t)x (t). The obtained results are new and not only extend the known results appeared in the literature, but they also improve and unify the kn...
متن کاملOscillation criteria for second-order nonlinear neutral delay dynamic equations
In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
متن کاملOscillation criteria for nonlinear second-order damped delay dynamic equations on time scales
In this paper, we establish several oscillation criteria for the nonlinear second-order damped delay dynamic equation ( r(t)|xΔ(t)|β−1xΔ(t) )Δ + p(t)|xΔσ(t)|β−1xΔσ(t) + q(t)f(x(τ(t))) = 0 on an arbitrary time scale T, where β > 0 is a constant. Our results generalize and improve some known results in which β > 0 is a quotient of odd positive integers. Some examples are given to illustrate our m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2002
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(01)00444-7