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Boundary value problems for second order nonlinear differential equations on infinite intervals
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2004, Vol. 290 Issue 2, p620. 19p. - Publication Year :
- 2004
-
Abstract
- In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis <f>(0,∞)</f> and also on the whole axis <f>(−∞,∞)</f>, under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces <f>L2(0,∞)</f> and <f>L2(−∞,∞)</f>, and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 290
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 12037205
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.10.013