Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions

Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions

We study the existence of solutions of the system submitted to nonlinear coupled boundary conditions on [0, T] where ∅1, ∅2: (-a, a) → ℝ, with 0 < a < +∞, are two increasing homeomorphisms such that ∅1(0) = ∅2(0) = 0, and fi : [0, T] × ℝ4 → ℝ, i ∈{1, 2} are two L1-Carathéodory functions. Usin...

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Main Authors: Goli Konan Charles Etienne, Adjé Assohoun
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Communications in Mathematics
Subjects:
34b15
∅-laplacian
l1-carathéodory function
schauder fixed-point theorem
Online Access:https://doi.org/10.1515/cm-2017-0008
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spelling doaj-0cf971101c724acaae9feb35d31038ff2021-09-06T19:19:41ZengSciendoCommunications in Mathematics2336-12982017-12-01252798710.1515/cm-2017-0008cm-2017-0008Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditionsGoli Konan Charles Etienne0Adjé Assohoun1UFR Mathématiques et informatique, Université Félix Houphouet Boigny de Côte D'Ivoire, 22 BP 582 Abidjan 22, Côte D'IvoireFR Mathématiques et informatique, Université Félix Houphouet Boigny de Côte D'Ivoire, 22 BP 582 Abidjan 22, Côte D'IvoireWe study the existence of solutions of the system submitted to nonlinear coupled boundary conditions on [0, T] where ∅1, ∅2: (-a, a) → ℝ, with 0 < a < +∞, are two increasing homeomorphisms such that ∅1(0) = ∅2(0) = 0, and fi : [0, T] × ℝ4 → ℝ, i ∈{1, 2} are two L1-Carathéodory functions. Using some new conditions and Schauder fixed point Theorem, we obtain solvability result.https://doi.org/10.1515/cm-2017-000834b15∅-laplacianl1-carathéodory functionschauder fixed-point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Goli Konan Charles Etienne
Adjé Assohoun
spellingShingle Goli Konan Charles Etienne
Adjé Assohoun
Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
Communications in Mathematics
34b15
∅-laplacian
l1-carathéodory function
schauder fixed-point theorem
author_facet Goli Konan Charles Etienne
Adjé Assohoun
author_sort Goli Konan Charles Etienne
title Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
title_short Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
title_full Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
title_fullStr Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
title_full_unstemmed Existence of solutions for a coupled system with ∅-Laplacian operators and nonlinear coupled boundary conditions
title_sort existence of solutions for a coupled system with ∅-laplacian operators and nonlinear coupled boundary conditions
publisher Sciendo
series Communications in Mathematics
issn 2336-1298
publishDate 2017-12-01
description We study the existence of solutions of the system submitted to nonlinear coupled boundary conditions on [0, T] where ∅1, ∅2: (-a, a) → ℝ, with 0 < a < +∞, are two increasing homeomorphisms such that ∅1(0) = ∅2(0) = 0, and fi : [0, T] × ℝ4 → ℝ, i ∈{1, 2} are two L1-Carathéodory functions. Using some new conditions and Schauder fixed point Theorem, we obtain solvability result.
topic 34b15
∅-laplacian
l1-carathéodory function
schauder fixed-point theorem
url https://doi.org/10.1515/cm-2017-0008
work_keys_str_mv AT golikonancharlesetienne existenceofsolutionsforacoupledsystemwithlaplacianoperatorsandnonlinearcoupledboundaryconditions
AT adjeassohoun existenceofsolutionsforacoupledsystemwithlaplacianoperatorsandnonlinearcoupledboundaryconditions
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