An oscillation theorem for second-order nonlinear differential equations of Euler type
We consider the nonlinear equation t2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.
Anahtar Kelimeler:
Oscillation, nonlinear differential equations, Liénard system
An oscillation theorem for second-order nonlinear differential equations of Euler type
We consider the nonlinear equation t2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.
Keywords:
Oscillation, nonlinear differential equations, Liénard system,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Note on Hilbert-type inequalities
Marcinkiewicz-Fejer means of double conjugate Walsh-Kaczmarz-Fourier series and Hardy spaces
On CISE-normal subgroups of finite groups
Invariant subspaces of weakly compact-friendly operators
On normality of meromorphic functions with multiple zeros and sharing values
An oscillation theorem for second-order nonlinear differential equations of Euler type
Asadollah AGHAJANI, Vahid ROOMI