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Existence of bounded and unbounded nonoscillatory solutions of nonlinear partial difference equations
- Source :
-
Journal of Mathematical Analysis & Applications . Aug2007, Vol. 332 Issue 2, p1267-1277. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: Consider the higher order nonlinear partial difference equation of neutral type where , , and . In this paper, we first establish the discrete Arzela–Ascoli''s theorem. Next, we obtain some sufficient conditions for the existence of bounded and unbounded nonoscillatory solution of Eq. (∗). [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 332
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 24861472
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.10.059