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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... AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

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

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Publisher
de Gruyter
Copyright
© 2018
ISSN
2336-1298
eISSN
2336-1298
DOI
10.1515/cm-2017-0008
Publisher site
See Article on Publisher Site

Abstract

AbstractWe 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.

Journal

Communications in Mathematics – de Gruyter

Published: Dec 20, 2017

References

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    Bereanu
  • Existence of Solutions to a Second Order Coupled System with Nonlinear Coupled Boundary Conditions of Applied Mathematics Special Issue : Proceedings of the st UMT National Conference on Pure and Applied Mathematics st
    Asif
  • A new upper and lower solutions approach for second order problems with nonlinear boundary conditions Arch Inequal
    Franco