On oscillatory solutions of quasilinear differential equations

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Authors

BARTUŠEK Miroslav DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro

Year of publication 2006
Type Article in Periodical
Magazine / Source J. Math. Anal. Appl.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords second order quasilinear differential equation;oscillatory solution;nonoscillatory solution;asymptotic representation
Description Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions.
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