Integral criteria for second-order linear oscillation.
Integral criteria of oscillation for a third order linear differential equation
Integral equivalence of two systems of differential equations
Integral properties of coefficients of the 2 order linear differential equations having the same distribution of zeros of solutions
Interval criteria for oscillation of second order self-adjoint matrix differential systems
By employing the matrix Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order matrix differential systems of the form [P(t)Y']' + Q(t)Y = 0.
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities.
Interval oscillation criteria for second order forced nonlinear matrix differential equations.
Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement a number of...
Interval Oscillation for Second Order Nonlinear Differential Equations with a Damping Term
2000 Mathematics Subject Classification: 34C10, 34C15.It is the purpose of this paper to give oscillation criteria for the second order nonlinear differential equation with a damping term (a(t) y′(t))′ + p(t)y′(t) + q(t) |y(t)| α−1 y(t) = 0, t ≥ t0, where α ≥ 1, a ∈ C1([t0,∞);(0,∞)) and p,q ∈ C([t0,∞);R). Our results here are different, generalize and improve some known results for oscillation of second order nonlinear differential equations that are different from most known ones in the sencse...
Inverse problems connected with periods of oscillations described by ẍ + g(x) = 0
Kamenev type oscillation criteria for second order matrix differential systems with damping
By using monotone functionals and positive linear functionals on a suitable matrix space, new oscillation criteria for second order self-adjoint matrix differential systems with damping are given. The results are extensions of the Kamenev type oscillation criteria obtained by Wong for second order self-adjoint matrix differential systems with damping. These extensions also include an earlier result of Erbe et al.
Kamenev-type oscillation criteria for second-order quasilinear differential equations.
k-Diskonjugiertheit von w(n) + p (z) w = 0 .
Kneser-type oscillation criteria for selfadjoint two-term differential equations.
Levin's comparison theorems for second order nonlinear differential equations and inequalities
Liapunov-type inequality for delay-differential equations of third order
A Liapunov-type inequality for a class of third order delay-differential equations is derived.
Liapunov-type integral inequalities for certain higher-order differential equations.
Limit and integral properties of principal solutions for half-linear differential equations
Some asymptotic properties of principal solutions of the half-linear differential equation
Limit behavior of solutions of ordinary linear differential equations.
Limit Circle Results for Second Order Equations.