Geodesic
Lyapunov Inequalities and Bounds on Solutions of Certain Second Order Equations*
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 499-504

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we consider the equation(1.1) (r(t)y′(t))′+p(t)f(y(t)) = 0under the conditions((H 0): the real valued functions r, r′ and p are continuous on a non-trivial interval J of reals, and r(t)>0 for t∈J;and(H1):f:R→R is continuously differentiable and odd with f'(y)>0 for all real y. We also consider the equation(1.2) y′′(t)+m(t)y′(t)+n(t)f(y(t)) = 0under the conditions (H 1) and(H 2): the real valued functions m and n are continuous on a non-trivial interval J of reals. 
Eliason, Stanley B. Lyapunov Inequalities and Bounds on Solutions of Certain Second Order Equations*. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 499-504. doi: 10.4153/CMB-1974-088-2
@article{10_4153_CMB_1974_088_2,
     author = {Eliason, Stanley B.},
     title = {Lyapunov {Inequalities} and {Bounds} on {Solutions} of {Certain} {Second} {Order} {Equations*}},
     journal = {Canadian mathematical bulletin},
     pages = {499--504},
     year = {1974},
     volume = {17},
     number = {4},
     doi = {10.4153/CMB-1974-088-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-088-2/}
}
TY  - JOUR
AU  - Eliason, Stanley B.
TI  - Lyapunov Inequalities and Bounds on Solutions of Certain Second Order Equations*
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 499
EP  - 504
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-088-2/
DO  - 10.4153/CMB-1974-088-2
ID  - 10_4153_CMB_1974_088_2
ER  - 
%0 Journal Article
%A Eliason, Stanley B.
%T Lyapunov Inequalities and Bounds on Solutions of Certain Second Order Equations*
%J Canadian mathematical bulletin
%D 1974
%P 499-504
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-088-2/
%R 10.4153/CMB-1974-088-2
%F 10_4153_CMB_1974_088_2

Cité par Sources :