Some Problems in Nonlinear Volterra Integral Equations

نویسندگان

  • BY J. A. NOHEL
  • Walter Rudin
  • J. A. NOHEL
چکیده

Upper and lower bounds for the norm of solutions of systems of first order differential equations as well as theorems on global existence and boundedness and other useful results have recently been obtained by comparing solutions of the given system with those of a related (single) first order differential equation. This technique, which is essentially due to Conti [5] and Wintner [9], has been extended in scope by Brauer [2; 3] and Antosiewicz [ l ] to obtain many of the results for systems of differential equations referred to above. In this paper, which will appear in complete form elsewhere, we present a similar technique and using it obtain results for systems of integral equations of the form

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تاریخ انتشار 2007