ON GENERALIZED SOLUTIONS OF NONLINEAR SYSTEMS

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Yıldırım Ö., Uzun M.

6th International Congress on Fundamental and Applied Sciences 2019 (ICFAS2019), Tirane, Albania, 18 - 20 June 2019, pp.146

  • Publication Type: Conference Paper / Summary Text
  • City: Tirane
  • Country: Albania
  • Page Numbers: pp.146
  • Yıldız Technical University Affiliated: Yes

Abstract

In this study, theoretical statements on weak solvability of nonlinear coupled systems are presented in a Hilbert space H. The well known solution method, Faedo Galerkin method, which is widely used for proving existence and uniqueness of solutions for systems of differential equatios, is given. Some auxiliary theorems as Riesz representation theorem, Lax Milgram theorem and the basic properties of Sobolev spaces are presented.