Please use this identifier to cite or link to this item:
https://dspace.univ-ouargla.dz/jspui/handle/123456789/36500
Title: | Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem |
Authors: | KOUIDRI, Mohammed Chekli, Hiba |
Keywords: | positive solution superlinear sublinear fixed-point theorem cones solution positive superlinéaire, théorème du point fixe |
Issue Date: | 2024 |
Publisher: | UNIVERSITE KASDI MERBAH – OUARGLA |
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. 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. |
Description: | Functional Analysis |
URI: | https://dspace.univ-ouargla.dz/jspui/handle/123456789/36500 |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Chekli-Hiba.pdf | 519,99 kB | Adobe PDF | View/Open |
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