The conditions on the function c x : β«ήβ¬ Βͺ β«ήβ¬ are derived, which ensure that the Ε½5 5 py 2 . Ε½ .< < py 2 PDE div Ωu Ωu q c x u u s 0, p ) 1, is oscillatory; i.e., Ο± belongs to Γ the closure of the set of zeros of every solution defined on the domain β s x g n 5 5 4 β«ήβ¬ : x ) 1 . The main tool is th
Oscillation criteria for damped half-linear PDE via the integral operator
β Scribed by Zhiting Xu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 279 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
Riccati inequality for half-linear elliptic inequalities with p(x)-Laplacians is established, and oscillation criteria are derived by using the Riccati inequality. Our method is to reduce oscillation problems for half-linear elliptic inequalities with p(x)-Laplacians to onedimensional Riccati inequa
By using the generalized Riccati technique and an inequality due to Hardy, Littlewood and Polya, several new oscillation criteria are established for a class of even-order halflinear distributed for a differential equation with damping. The results obtained extend and improve earlier results in exis