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Oscillation criteria for a class of nonlinear differential equations of third order

100%

Parhi N., Das P.

Annales Polonici Mathematici

1992

tom 57

nr 3

219-229

Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form $y''' + q(t)y' + p(t)y^α = 0$ and y''' + q(t)y' + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.

New oscillation criteria for first order nonlinear delay differential equations

100%

Tang X., Shen J.

Colloquium Mathematicum

2000

tom 83

nr 1

21-41

New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Das P.

1 Parhi N.

1 Shen J.

1 Tang X.

1 2000

1 1992

Wyniki wyszukiwania

Oscillation criteria for a class of nonlinear differential equations of third order

New oscillation criteria for first order nonlinear delay differential equations