Nonprincipal solutions of half-linear second order differential equations

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Authors	DOŠLÝ Ondřej UNAL Mehmet
Year of publication	2009
Type	Article in Periodical
Magazine / Source	Nonlinear Anal.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Nonprincipal solution; half-linear oscillation theory;oscillation criterion; Riccati type differential equation
Description	We consider the nonoscillatory half-linear second order differential equation and we suppose that we know its principal solution . We establish an asymptotic formula for nonprincipal solutions and we use this asymptotic formula to obtain an oscillation criterion for this equation.
Related projects:	Mathematical structures and their physical applications Difference equations and dynamic equations on time scales II