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Multiple positive solutions for nonlinear dynamical systems on a measure chain
- Source :
-
Journal of Computational & Applied Mathematics . Jan2004, Vol. 162 Issue 2, p421. 10p. - Publication Year :
- 2004
-
Abstract
- In this paper, we consider the following dynamical system on a measure chain: u1ΔΔ(t)+f1(t,u1(σ(t)),u2(σ(t)))=0, t∈[a,b],u2ΔΔ(t)+f2(t,u1(σ(t)),u2(σ(t)))=0, t∈[a,b],with the Sturm–Liouville boundary value conditionsαui(a)−βuiΔ(a)=0, γui(σ(b))+δuiΔ(σ(b))=0 for i=1,2.Some results are obtained for the existence of three positive solutions of the above problem by using Leggett–Williams fixed point theorem. [Copyright &y& Elsevier]
- Subjects :
- *BOUNDARY value problems
*FIXED point theory
*TOPOLOGY
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 162
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 11467161
- Full Text :
- https://doi.org/10.1016/j.cam.2003.08.032