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Quadratic approximation of solutions for set-valued functional differential equations
Peiguang Wang,Yameng Wang
Keywords:Set-valued functional differential equations; Coupled lower and upper solutions; Quasilinearization; Convergence
Abstract:
      This paper investigates nonlinear set-valued functional differential equations with initial value conditions. By introducing the notion of Hukuhara partial derivative of set-valued function, using the comparison principle and the method of quasilinearization, we obtain monotone iterative sequences of approximate solutions which converge uniformly and quadratically to the solutions of such problems.