Name
Abstract | ||
|---|---|---|
In this paper, for second order half-linear differential equations, we will establish some new inequalities of Lyapunov’s type. These inequalities give results related to the spacing between consecutive zeros of a solution and the spacing between a zero of a solution and/or a zero of its derivative. The results also yield conditions for disfocality, disconjugacy and lower bounds for an eigenvalue of a boundary value problem. The main results will be proved by making use of some generalizations of Opial and Wirtinger type inequalities. Some examples are considered to illustrate the main results. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.06.058 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Disfocality,Nonoscillation,Half-linear differential equations,Opial’s inequality | Differential equation,Boundary value problem,Lyapunov function,Mathematical optimization,Generalization,Linear differential equation,Mathematical analysis,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
219 | 3 | 0096-3003 |
Citations | PageRank | References |
1 | 0.47 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. H. Saker | 1 | 44 | 19.32 |
| Ravi P. Agarwal | 2 | 127 | 51.30 |
| Donal O'Regan | 3 | 163 | 46.52 |