Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations
β Scribed by Patricia J.Y. Wong; Ravi P. Agarwal
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 238 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
We develop criteria for the nonexistence of eventually positive negative and Ε½ . nondecreasing nonincreasing solutions of the partial difference equation Ω Ω y m, n q P m, n, y m q k, n q l s Q m, n, y m q k, n q l
π SIMILAR VOLUMES
In this work, the nonexistence of the global solutions to initial boundary value problems with dissipative terms in the boundary conditions is considered for a class of quasilinear hyperbolic equations. The nonexistence proof is achieved by the usage of the so-called concavity method. In this method
Let x 1n and x 2n be recessive and dominant solutions of the nonoscillatory difference equation r n-1 x n-1 + p n x n = 0. It is shown that if β f n x 1n x 2n converges (perhaps conditionally) and satisfies a second condition on its order of covergence, then the difference equation r n-1 y n-1 + p n