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On distance between zeros of solutions of third order differential equations

N. Parhi; S. Panigrahi — 2001

Annales Polonici Mathematici

The lower bounds of the spacings b-a or a’-a of two consecutive zeros or three consecutive zeros of solutions of third order differential equations of the form y”’ + q(t)y’ + p(t)y = 0 (*) are derived under very general assumptions on p and q. These results are then used to show that $t_{n + 1} - t ₙ \to \infty$ or $t_{n + 2} - t ₙ \to \infty$ as n → ∞ under suitable assumptions on p and q, where ⟨tₙ⟩ is a sequence of zeros of an oscillatory solution of (*). The Opial-type inequalities are used to derive lower bounds of the spacings d-a or b-d for...

Liapunov-type inequality for delay-differential equations of third order

N. Parhi; S. Panigrahi — 2002

Czechoslovak Mathematical Journal

A Liapunov-type inequality for a class of third order delay-differential equations is derived.

Lyapunov-type inequality for higher-order differential equations

N. Parhi; S. Panigrahi — 2002

Mathematica Slovaca

Criteria for disfocality and disconjugacy for third order differential equations.

Panigrahi, S. — 2009

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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