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.
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