Browsing by Author "Mitchell, Roger W."

Now showing items 1-6 of 6

    • Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space 

      Mitchell, Roger W.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1974-03)
      **Please note that the full text is embargoed** ABSTRACT: A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the ...

    • Generalized Stability of Motion and Vector Lyapunov Functions 

      Pace, Deborah A.; Mitchell, Roger W. (University of Texas at ArlingtonDepartment of Mathematics, 1976-06)
      **Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and ...

    • Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones 

      Mitchell, Roger W.; Mitchell, A. Richard; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ...

    • Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones 

      Lakshmikantham, V.; Mitchell, Roger W.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1974-04)
      **Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ...

    • On the Existence of Solutions of Differential Equations of Retarded Type in a Banach Space 

      Lakshmikantham, V.; Mitchell, Roger W.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: The existence and uniqueness of solutions of differential equations of retarded type in a Banach space are considered under a monotonicity type condition. The tools ...

    • Vector Lyapunov Functions and Perturbations of Nonlinear Systems 

      Moore, Marion E.; Mitchell, Roger W. (University of Texas at ArlingtonDepartment of Mathematics, 1975-03)
      **Please note that the full text is embargoed** ABSTRACT: Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of ...