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.
Related projects:	Mathematical structures and their physical applications Limited properties of solutions of differential equations