Existence and uniqueness results for a class of nonlinear differential problems

Rodica Luca

Department of Mathematics, "Gh.Asachi" Technical University, Iaşi, Romania

Abstract: We investigate the existence and uniqueness of the strong and weak solutions to a nonlinear differential system with boundary conditions and initial data.

Keywords and phrases: Nonlinear differential system, boundary condition, maximal monotone operator, Cauchy problem, strong solution, weak solution.

MSC: 34G20, 35L50, 39A10, 47H05

Received: 21.08.2006

Language: English

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