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

• Autorzy: N. Parhi , P. Das
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

third order equations; oscillation; nonoscillation; asymptotic behaviour

Kategorie tematyczne

• 34C11: Growth, boundedness
• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 3
• Strony: 219-229

Daty

wydano

1992

otrzymano

1990-09-01

poprawiono

1991-07-29

poprawiono

1992-05-15

Twórcy

autor

N. Parhi

• Department of Mathematics, Berhampur University, Berhampur 760 007, India

autor

P. Das

• Department of Mathematics, Berhampur University, Berhampur 760 007, India

Bibliografia

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