<p>This paper aims to explore new results concerning the existence and multiplicity of solutions of an abstract quasilinear coupled system of evolution equations with a nonlinear inhomogeneous terms with a special emphasis on a coupled system of Kirchhoff-heat type. We give conditions under which the considered problem has at least one or two solutions. Our analysis relies on the use of topological fixed point approach for the sum of two operators.</p>

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Abstract analysis for a coupled system of evolution equations via topological approach

  • Svetlin Georgiev Georgiev,
  • Nourredine Houari,
  • Mohamed Hocine Braiki,
  • Abdelhamid Hallouz

摘要

This paper aims to explore new results concerning the existence and multiplicity of solutions of an abstract quasilinear coupled system of evolution equations with a nonlinear inhomogeneous terms with a special emphasis on a coupled system of Kirchhoff-heat type. We give conditions under which the considered problem has at least one or two solutions. Our analysis relies on the use of topological fixed point approach for the sum of two operators.