Geodesic
The existence of solutions and positive solution of a first -order differential system with initial and multi-point boundary conditions
Filomat, Tome 35 (2021) no. 5, p. 1629

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DOI

In this paper, we consider a nonlinear differential system with initial and multi-point boundary conditions. The existence of solutions is proved by using the Banach contraction principle or the Krasnoselskii's fixed point theorem. Furthermore, the existence of positive solutions is also obtained by applying the Guo-Krasnoselskii's fixed point theorem in cones. As a consequence of the Guo-Krasnosellskii's fixed point theorem, the multiplicity of positive solutions is established.
DOI : 10.2298/FIL2105629L
Classification : 34B07, 34B10, 34B18, 34B27
Keywords: Multi-point boundary value problems, Positive solutions, The Guo-Krasnosellskii’s fixed point theorem 
Nguyen Thanh Long; Le Minh Tri; Le Thi Phuong Ngoc. The existence of solutions and positive solution of a first -order differential system with initial and multi-point boundary conditions. Filomat, Tome 35 (2021) no. 5, p. 1629 . doi: 10.2298/FIL2105629L
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     title = {The existence of solutions and positive solution of a first -order differential system with initial and multi-point boundary conditions},
     journal = {Filomat},
     pages = {1629 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105629L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105629L/}
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