Asymptotic decay of oscillatory solutions of second order differential equations with forcing term-Reference-Cited by-同舟云学术

Asymptotic decay of oscillatory solutions of second order differential equations with forcing term

Published:1977 Issue:2 Volume:66 Page:251-257
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kusano Takaŝi,Onose Hiroshi

Abstract

The ordinary differential equation ( p ( t ) y ′ ) ′ + q ( t ) f ( y ) = r ( t ) (p(t)y’)’ + q(t)f(y) = r(t) and its companion functional differential equation are considered. Sufficient conditions are given which ensure that all oscillatory solutions tend to zero as t → ∞ t \to \infty .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-066-02/S0002-9939-1977-0457901-5/S0002-9939-1977-0457901-5.pdf

Reference5 articles.

1. Continuability, boundedness and asymptotic behavior of solutions of 𝑥′′+𝑞(𝑡)𝑓(𝑥)=𝑟(𝑡);Graef, John R.;Ann. Mat. Pura Appl. (4),1974

2. Asymptotic behavior of solutions of a second order nonlinear differential equation;Graef, John R.;J. Differential Equations,1975

3. On the asymptotic behaviour of the solutions of (𝑝(𝑡)𝑥′)′+𝑞(𝑡)𝑓(𝑥)=0;Hatvani, L.;Publ. Math. Debrecen,1972

4. A nonoscillation theorem for a nonlinear second order differential equation;Heidel, J. W.;Proc. Amer. Math. Soc.,1969

5. Asymptotically vanishing oscillatory trajectories in second order retarded equations;Singh, Bhagat;SIAM J. Math. Anal.,1976

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