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Oscillation Criteria for Third Order Differential Equations
SIAM Journal on Mathematical Analysis, 1976This 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, 1991Consider 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, 2004The 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, 1976Oscillation 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, 1998Sui Sun Cheng
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Interval oscillation criteria for second-order nonlinear differential equations with damping
Computers and Mathematics With Applications, 2000Wan-Tong Li, R P Agarwal
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Establishing New Criteria for Oscillation of Odd-Order Nonlinear Differential Equations
Mathematics, 2020Jan Awrejcewicz +2 more
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Oscillation criteria for a neutral difference equation with delay
Applied Mathematics Letters, 1995Guang Zhang, Sui Sun Cheng
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