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.
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