Publication details

 

Integral conditions for nonoscillation of second order nonlinear differential equations

Basic information
Original title:Integral conditions for nonoscillation of second order nonlinear differential equations
Authors:Zuzana Došlá, Mariella Cecchi, Mauro Marini, Ivo Vrkoč
Further information
Citation:
Export BibTeX
Original language:English
Field:General mathematics
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.

Related projects: