Integral conditions for nonoscillation of second order nonlinear differential equations
|Original title:||Integral conditions for nonoscillation of second order nonlinear differential equations|
|Authors:||Zuzana Došlá, Mariella Cecchi, Mauro Marini, Ivo Vrkoč|
|Type:||Article in Periodical|
|Keywords:||Change of integration; half-linear differential equation; nonoscillatory solution; principal solution|
An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatorz solutions for the nonlinear second order differential equations of the Emden-Fowler type. Some discrepancies among the super-half linear, half-linear and sub-half linear case are pointed out and compared with the linear case. The obtained result for the half-linear equation is applied to prove the integral characterization of principal solutions.