Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.
Positive Solutions of Second Order Nonlinear Differential Equations
โ Scribed by Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 140 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎ 1998 Aca- demic Press y t G t . The solutions vanishing in some neighborhood of infinity will be y ลฝ . excluded from our consideration. A solution of 1 is said to be oscillatory
๐ SIMILAR VOLUMES
1 ลฝ ลฝ .. ลฝ . where ) 0 is any quotient of odd integers, a g C R, 0, ฯฑ , q g C R, R , ลฝ . ลฝ . ลฝ . fgC R, R , xf x ) 0, f ะ x G 0 for x / 0. Some new sufficient conditions for ลฝ . the oscillation of all solutions of ) are obtained. Several examples that dwell upon the importance of our results are als