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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