Integral conditions for nonoscillation of second order nonlinear differential equations

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Authors	DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro VRKOČ Ivo
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Nonlin. Anal.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Change of integration; half-linear differential equation; nonoscillatory solution; principal solution
Description	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:	Mathematical structures and their physical applications Limited properties of solutions of differential equations