Geodesic
Oscillation Criteria for a Class of Perturbed Schrödinger Equations
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 71-77

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

We are concerned with the oscillatory behavior of the second order elliptic equation 1 where Δ is the Laplace operator in n-dimensional Euclidean space R n, E is an exterior domain in R n, and c:E × R → R and f:E → R are continuous functions.A function v : E − R is called oscillatory in E if v(x) has arbitrarily large zeros, that is, the set {x ∈ E : v(x) = 0} is unbounded. For brevity, we say that equation (1) is oscillatory in E if every solution u ∈ C 2(E) of (1) is oscillatory in E. 
Kusano, Takaŝi; Naito, Manabu. Oscillation Criteria for a Class of Perturbed Schrödinger Equations. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 71-77. doi: 10.4153/CMB-1982-010-3
@article{10_4153_CMB_1982_010_3,
     author = {Kusano, Taka\^{s}i and Naito, Manabu},
     title = {Oscillation {Criteria} for a {Class} of {Perturbed} {Schr\"odinger} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {71--77},
     year = {1982},
     volume = {25},
     number = {1},
     doi = {10.4153/CMB-1982-010-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-010-3/}
}
TY  - JOUR
AU  - Kusano, Takaŝi
AU  - Naito, Manabu
TI  - Oscillation Criteria for a Class of Perturbed Schrödinger Equations
JO  - Canadian mathematical bulletin
PY  - 1982
SP  - 71
EP  - 77
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-010-3/
DO  - 10.4153/CMB-1982-010-3
ID  - 10_4153_CMB_1982_010_3
ER  - 
%0 Journal Article
%A Kusano, Takaŝi
%A Naito, Manabu
%T Oscillation Criteria for a Class of Perturbed Schrödinger Equations
%J Canadian mathematical bulletin
%D 1982
%P 71-77
%V 25
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-010-3/
%R 10.4153/CMB-1982-010-3
%F 10_4153_CMB_1982_010_3

[1] 1. Allegretto, W., Oscillation criteria for quasilinear equations, Canad. J. Math. 26 (1974), 931-947. Google Scholar

[2] 2. Atkinson, F. V., On second-order differential inequalities, Proc. Roy. Soc. Edinburgh, Sect. A, 72 (1974), 109-127. Google Scholar

[3] 3. Kartsatos, A. G., On the maintenance of oscillations of nth order equations under the effect of a small forcing term, J. Differential Equations 10 (1971), 355-363. Google Scholar

[4] 4. Kartsatos, A. G.,Maintenance of oscillations under the effect of a periodic forcing term, Proc. Amer. Math. Soc. 33 (1972), 377-383. Google Scholar

[5] 5. Kitamura, Y. and Kusano, T., An oscillation theorem for a sublinear Schrödinger equation, Utilitas Math. 14 (1978), 171-175. Google Scholar

[6] 6. Kreith, K., Oscillation Theory, Lecture Notes in Mathematics, Vol. 324, Springer Verlag, Berlin, 1973. Google Scholar

[7] 7. Noussair, E. S. and Swanson, C. A.,Oscillation theory for semilinear Schrödinger equations and inequalities, Proc. Roy. Soc. Edinburgh, Sect. A, 75 (1975/76), 67-81. Google Scholar

[8] 8. Noussair, E. S. and Swanson, C. A., Oscillation of semilinear elliptic inequalities by Riccati transformations, Canad. J. Math., to appear. Google Scholar

[9] 9. Swanson, C. A., Semilinear second order elliptic oscillation, Canad. Math. Bull. 22 (1979), 139-157. Google Scholar

Cité par Sources :