Oscillation Criteria for a Class of Perturbed Schrödinger Equations
- 1 March 1982
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 25 (1) , 71-77
- https://doi.org/10.4153/cmb-1982-010-3
Abstract
We are concerned with the oscillatory behavior of the second order elliptic equation 1 where Δ is the Laplace operator inn-dimensional Euclidean spaceRn,Eis an exterior domain inRn, andc:E × R → Randf:E → Rare continuous functions.A functionv : E − Ris called oscillatory inEifv(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 inEif every solutionu∈C2(E) of (1) is oscillatory inE.Keywords
This publication has 6 references indexed in Scilit:
- Semilinear Second Order Elliptic OscillationCanadian Mathematical Bulletin, 1979
- 6.—Oscillation Theory for Semilinear Schrödinger Equations and InequalitiesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1976
- Oscillation Criteria for Quasilinear EquationsCanadian Journal of Mathematics, 1974
- 8.—On Second-order Differential InequalitiesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1974
- Maintenance of oscillations under the effect of a periodic forcing termProceedings of the American Mathematical Society, 1972
- On the maintenance of oscillations of nth order equations under the effect of a small forcing termJournal of Differential Equations, 1971