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DC Field | Value | Language |
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dc.contributor.advisor | KOUIDRI, Mohammed | - |
dc.contributor.author | Chekli, Hiba | - |
dc.date.accessioned | 2024-07-09T08:37:12Z | - |
dc.date.available | 2024-07-09T08:37:12Z | - |
dc.date.issued | 2024 | - |
dc.identifier.uri | https://dspace.univ-ouargla.dz/jspui/handle/123456789/36500 | - |
dc.description | Functional Analysis | en_US |
dc.description.abstract | We investigate the existence of positive solutions for a three-point integral boundary value problem of the form 𝑢 ′′ + 𝑎(𝑡)𝑓(𝑢) = 0 with 𝑡 ∈ [0,1] , 𝑢(0) = 0 and 𝛼 ∫ 𝑢(𝑠)𝑑𝑠 𝜂 0 = 𝑢(1), where 0 < 𝜂 < 1 and 0 < 𝛼 < 2 𝜂 2 . By applying the fixed point theorem in cones, we demonstrate that there exists at least one positive solution when 𝑓 is either superlinear or sublinear. | en_US |
dc.description.abstract | Nous étudions l'existence de solutions positives pour le problème aux limites intégral à trois points de la forme 𝑢 ′′ + 𝑎(𝑡)𝑓(𝑢) = 0 avec 𝑡 ∈ [0,1] , 𝑢(0) = 0 et 𝛼 ∫ 𝑢(𝑠)𝑑𝑠 𝜂 0 = 𝑢(1), où 0 < 𝜂 < 1 and 0 < 𝛼 < 2 𝜂 2 . En appliquant le théorème du point fixe dans les cônes, nous montrons qu'il existe au moins une solution positive lorsque 𝑓 est soit superlinéaire, soit sous-linéaire. | - |
dc.language.iso | en | en_US |
dc.publisher | UNIVERSITE KASDI MERBAH – OUARGLA | en_US |
dc.subject | positive solution | en_US |
dc.subject | superlinear | en_US |
dc.subject | sublinear | en_US |
dc.subject | fixed-point theorem | en_US |
dc.subject | cones | en_US |
dc.subject | solution positive | en_US |
dc.subject | superlinéaire, | en_US |
dc.subject | théorème du point fixe | en_US |
dc.title | Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Chekli-Hiba.pdf | 519,99 kB | Adobe PDF | View/Open |
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