On a Nonlinear Binomial Equation of Third Order
Copyright policy )On a Nonlinear Binomial Equation of Third Order
A necessary and sufficient condition for the solution of equation u''' + p(t)u^{\alpha} = 0 (\alpha > 0 an odd integer, p ≤ 0 on (a,\infty)) to be oscillatory and some sufficient conditions for the solution in the cases p ≤ 0 and p ≥ 0 to be oscillatory or non-oscillatory are derived. For this methods and results of the theory of linear differential equations of the third order are effectively used.
- Comenius University Slovakia
nonoscillatory, Nonlinear oscillations and coupled oscillators for ordinary differential equations, oscillatory, nonlinear binomial differential equation of the third order, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
nonoscillatory, Nonlinear oscillations and coupled oscillators for ordinary differential equations, oscillatory, nonlinear binomial differential equation of the third order, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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