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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.
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Oscillation criteria for second order difference equation

Funkcialaj Ekvacioj, 1991
Consider the difference equation \(\Delta^ 2x_{k-1}+b_ kx_ k=0\), \(k\geq 1\), where \(\Delta x_ k=x_{k+1}-x_ k\) and \(b_ k\geq 0\) with infinitely many positive terms. This equation is said to be oscillatory if it admits a solution \(\{x_ k\}^ \infty_ 0\) with the property that for any \(N\geq 1\), there exists an \(n\geq N\), such that \(x_ kx_{k+1}\
Cheng, Sui Sun   +2 more
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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
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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 ...
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Oscillation criteria for a nonlinear difference equation

Computers and Mathematics With Applications, 1998
Sui Sun Cheng
exaly  

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

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

Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations

Mathematics, 2020
Jan Awrejcewicz   +2 more
exaly  

Oscillation criteria for a neutral difference equation with delay

Applied Mathematics Letters, 1995
Guang Zhang, Sui Sun Cheng
exaly  

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