scholarly journals Differential equations with several non-monotone arguments: An oscillation result

2017 ◽  
Vol 68 ◽  
pp. 20-26 ◽  
Author(s):  
G.E. Chatzarakis ◽  
H. Péics
Keyword(s):  
Differential Equations ◽  
Oscillation Result

An improved oscillation result for advanced differential equations

2020 ◽  
Vol 107 ◽  
pp. 106495
Author(s):  
George E. Chatzarakis ◽  
George N. Miliaras
Keyword(s):  
Differential Equations ◽  
Oscillation Result

A Second Order Superlinear Oscillation Criterion

1984 ◽  
Vol 27 (1) ◽  
pp. 102-112 ◽  
Author(s):  
Ch. G. Philos
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Oscillation Criterion ◽  
Oscillation Result ◽  
Special Case

AbstractA new oscillation criterion is given for general superlinear ordinary differential equations of second order of the form x″(t)+ a(t)f[x(t)]=0, where a ∈ C([t0∞,)), f∈C(R) with yf(y)>0 for y≠0 and and f is continously differentiable on R-{0} with f'(y)≥0 for all y≠O. In the special case of the differential equation (γ > 1) this criterion leads to an oscillation result due to Wong [9].

scholarly journals Oscillation of second order linear ordinary differential equations with alternating coefficients

1983 ◽  
Vol 27 (2) ◽  
pp. 307-313 ◽  
Author(s):  
Ch.G. Philos
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Oscillation Criterion ◽  
Order Linear ◽  
Linear Ordinary Differential Equations ◽  
Oscillation Result

A new result is obtained for the oscillation of second order linear ordinary differential equations with alternating coefficients. This oscillation result extends a recent oscillation criterion due to Kamenev [.Mat. Zametki 23 (1978), 249–251].

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