Nonoscillation theorems for a nonlinear self-adjoint differential equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 7, 2001, Pages 4433-4444

  Sugie, Jitsuro ^b   Yamaoka, Naoto ^b   Obata, Yukio ^b  

^a SHIMANE UNIVERSITY   (Japan)

^b NONE

Author keywords

Li nard system; Nonlinear oscillation; Phase plane analysis; Self adjoint differential equation

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; THEOREM PROVING;

NONOSCILLATION THEOREMS;

NONLINEAR EQUATIONS;

EID: 0035423920     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00557-0     Document Type: Article

References (18)

1. Oscillatory behavior of solutions of nonlinear differential equations of second order
2. On the equation x″ + f(x)h(x′)x′ + g(x) = e(t)
3. Non-continuation of solutions of differential equations of order N
4. On continuability of solutions of second order differential equations
5. The existence of continuable solutions of a second order differential equation
6. A generalisation of Olech-Opial-Wazewski oscillation criteria to second order nonlinear equations
7. Gab. Villari, integral criteria for a classification, of solutions of linear equations
8. Gab. Villari, on some classes of continuable solutions of a nonlinear differential equation
9. Gab. Villari, comparison results for oscillation of nonlinear differential equations
10. Oscillation theorems for nonlinear differential equations of second order
11. Oscillation theorems for second order superlinear differential equations with damping
12. On the generalized Liénard equation with negative damping
13. Non-continuation results for differential equations by several Liapunov functions
14. On the oscillation of second order nonlinear differential equation
15. On global asymptotic stability of systems of Liénard type
16. Oscillation criteria for second order nonlinear differential equations of Euler type