Results 271 to 280 of about 33,056 (296)

Iterative Oscillation Criteria in Deviating Difference Equations

Mediterranean Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Chatzarakis, Irena Jadlovská
openaire   +1 more source

Perturbative Oscillation Criteria and Hardy‐Type Ineqalities

Mathematische Nachrichten, 1998
AbstractWe prove a natural generalization of Kneser's oscillation and Hardy's inequality for Sturm‐Liouville differential expressions. In Particular, assuming − d/dxp0(x)+q0(x), x ∈ a, b), −∞≦a<b≦∞, to be nonoscillatory near a (or b), we determine condition on q(x) such that − d/dxp0(x)+q0(x)+q(x) is nonoscillatory, respectively, oscillatory near a (
Gesztesy, F., Ünal, M.
openaire   +2 more sources

Oscillation Criteria for a 2-D Discrete System

Qualitative Theory of Dynamical Systems, 2016
This paper is concerned with the oscillatory behavior of the \(2\)-D discrete system \[ u_{m-1,n} + u_{m,n-1} - p u_{m,n} + q u_{m+k,n+l} = 0, \tag{1} \] where \(p, q\) are real numbers and \(m, n, k, l\) are nonnegative integers. The investigation of the problem above is divided into four mutually exclusive cases: (i) \(k \geq 1\) and \(l\geq 1\), (ii)
Yuan, Chunhua, Zhang, Liang
openaire   +1 more source

Oscillation Criteria for Matrix Differential Equations

Canadian Journal of Mathematics, 1967
We shall be concerned at first with some properties of the solutions of the matrix differential equation1.1whereis an n × n symmetric matrix whose elements are continuous real-valued functions for 0 < x < ∞, and Y(x) = (yij(x)), Y″(x) = (y″ ij(x)) are n × n matrices.
openaire   +1 more source

Oscillation criteria of the Popov type

IEEE Transactions on Automatic Control, 1975
Criteria of the Popov type are established for the existence of periodic motion in state space for a class of time invariant, autonomous, nonlinear feedback systems. In a restricted sense they constitute an extension of a previously obtained result [1].
openaire   +2 more sources

Oscillation Criteria for Third Order Differential Equations

SIAM Journal on Mathematical Analysis, 1976
This paper gives some sufficient conditions for \[ y''' + p(x)y' + q(x)y = 0\] to have oscillatory solutions.
openaire   +1 more source

Oscillation criteria for difference equations with damping terms

Applied Mathematics and Computation, 2004
The authors study the oscillation of second order nonlinear difference equations with damping of the form \[ \Delta(a_n(\Delta x_n)^\gamma)+p_n(\Delta x_n)^\gamma+q_nf(x_{n+1})=0, n=n_0,n_0+1, \cdots. \tag{1} \] By means of generalized Riccati transformation techniques, several new oscillation criteria are established for oscillation of all solutions ...
Samir H. Saker, Sui Sun Cheng
openaire   +1 more source

Oscillation Criteria for Semilinear Equations in General Domains

Canadian Mathematical Bulletin, 1976
Oscillation theory for nonlinear ordinary differential equations has been extensively developed in recent years by several authors. We refer the reader to the recent paper by Noussair and Swanson, [2], where an extensive bibliography may be found. The situation is somewhat different for the case of second order partial differential equations, an area ...
openaire   +1 more source

Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain

Journal of Mathematical Analysis and Applications, 2004
Qingkai Kong
exaly   +2 more sources

Interval oscillation criteria for second-order nonlinear differential equations with damping

Computers and Mathematics With Applications, 2000
Wan-Tong Li, R P Agarwal
exaly