Oscillation Criteria for Certain Nonlinear Differential Equations

We present new oscillation criteria for certain classes of second-order nonlinear differential equations and delay differential equations obtained by using an integral averaging technique. Our theorems complement a number of existing results and handle the cases which are not covered by known criteria.

[1]  On boundedness of solutions of certain second-order differential equations☆ , 1969 .

[2]  Yuri V. Rogovchenko.  Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations , 1997 .

[3]  Ján Ohriska,et al.  Oscillation of second order delay and ordinary differential equation , 1984 .

[4]  G. Hamedani,et al.  Oscillation criteria for certain second order differential equations , 1990 .

[5]  B. S. Lalli,et al.  Integral averaging techniques for the oscillation of second order nonlinear differential equations , 1990 .

[6]  Said R. Grace,et al.  Oscillation theorems for nonlinear differential equations of second order , 1992 .

[7]  J. Graef,et al.  Asymptotic behavior of solutions of a second order nonlinear differential equation , 1975 .

[8]  Lynn Erbe,et al.  Oscillation Criteria for Second Order Nonlinear Delay Equations , 1973, Canadian Mathematical Bulletin.

[9]  C. Philos,et al.  Oscillation theorems for linear differential equations of second order , 1989 .

[10]  B. S. Lalli,et al.  An oscillation criterion for certain second order strongly sublinear differential equations , 1987 .

[11]  Horng Jaan Li.  Oscillation Criteria for Second Order Linear Differential Equations , 1995 .

[12]  R. Grimmer,et al.  Stability properties of(r(t)u′)′+a(t) f(u) g(u′)=0 , 1970 .

[13]  T. A. Burton,et al.  Some properties of solutions ofu″(t)+a(t) f(u) g(u′)=0 (II) , 1965 .

[14]  John R. Graef,et al.  Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation , 1978 .

[15]  Yuri V. Rogovchenko.  NOTENote on “Oscillation Criteria for Second Order Linear Differential Equations” , 1996 .

[16]  Yuri V. Rogovchenko.  Oscillation theorems for second-order equations with damping , 2000 .