Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
نویسندگان
چکیده
منابع مشابه
Oscillation Results for Second Order Self-adjoint Matrix Differential Systems
on [0,∞), where Y (t), P (t) and Q(t) are n × n real continuous matrix functions on [0,∞) with P (t), Q(t) symmetric and P (t) positive definite for t ∈ [0,∞) (P (t) > 0, t ≥ 0). A solution Y (t) of (1.1) is said to be nontrivial if det Y (t) 6= 0 for at least one t ∈ [0,∞) and a nontrivial solution Y (t) of (1.1) is said to be prepared (selfconjugated) if Y ∗(t)P (t)Y ′(t)− Y ∗′(t)P (t)Y (t) ≡...
متن کاملInterval oscillation criteria for matrix differential systems with damping
Using a generalized Riccati transformation, some new oscillation criteria of linear second order matrix differential system with damping are built by the method of integral average. These results are based on the information on a sequence of subintervals of [t0,∞). 2000 Mathematics Subject Classification: 34C10.
متن کاملInterval Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping
We present new interval oscillation criteria for certain classes of second order nonlinear differential equations with damping that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0;1), rather than on the whole half-line. Our results are sharper than some previous results and handle the cases which are not covered by...
متن کاملInterval Oscillation Criteria for Second Order Mixed Nonlinear Forced Impulsive Differential Equation with Damping Term
In this paper, interval oscillation criteria are established for second order forced impulsive differential equations with mixed nonlinearities of the form ⎧⎪⎨ ⎪⎩ ( r(t)Φα(x′(t)) )′ + p(t)Φα(x′(t))+q(t)Φα(x(t))+ n ∑ i=1 qi(t)Φβi (x(t)) = e(t), t = τk, x(τk) = akx(τk), x′(τk+) = bkx′(τk), k = 1,2, . . . . The results obtained in this paper extend some of the existing results and are illustrated ...
متن کاملNew Interval Oscillation Criteria for Forced Second-Order Differential Equations with Nonlinear Damping
We introduce and prove some new interval oscillation criteria for a general class of forced second-order differential equations (E) : ( r(t)k1(x, x′) )′ + p(t)k2(x, x′)x′ + q(t)f(x) = e(t), t ≥ t0, where the functions k1(u, v), k2(u, v) and f(u) satisfy some general conditions. Our interval oscillation criteria and their proofs are different than previously published ones, and it is based on (i...
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: Annales Polonici Mathematici
سال: 2002
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap79-2-8