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On the Solvability of Third-Order Three Point Systems of Differential Equations with Dependence on the First Derivative.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Sep2017, Vol. 48 Issue 3, p485-503. 19p. - Publication Year :
- 2017
-
Abstract
- This paper presents sufficient conditions for the solvability of the third order three point boundary value problem The arguments apply Green's function associated to the linear problem and the Guo-Krasnosel'skiĭ theorem of compression-expansion cones. The dependence on the first derivatives is overcome by the construction of an adequate cone and suitable conditions of superlinearity/sublinearity near 0 and $$+\infty $$ . Last section contains an example to illustrate the applicability of the theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 48
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 125619505
- Full Text :
- https://doi.org/10.1007/s00574-016-0025-5