Browsing Technical Papers - DO NOT EDIT by Author "Bernfeld, Stephen R."

Now showing items 1-17 of 17

    • The Extendability and Uniqueness of Solutions of Ordinary Differential Equations 

      Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1976)
      **Please note that the full text is embargoed** ABSTRACT: In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions ...

    • Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions 

      Bernfeld, Stephen R.; Reddy, Y. M.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1980-07)
      **Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...

    • Fixed Point Theorms of Operators with PPF Dependence in Banach Spaces 

      Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1975)
      **Please note that the full text is embargoed** ABSTRACT: In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] ...

    • Generalized Hopf Bifurcation and h-Asymptotic stability 

      Salvadori, L.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1979-11)
      **Please note that the full text is embargoed** ABSTRACT: The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard procedures as ...

    • Generalized Hopf Bifurcation in Rn and h-Asymptotic Stability 

      Salvadori, L.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1979-10)
      **Please note that the full text is embargoed**

    • Generalized Transversality, Exchange of Stability and Hopf Bifurcation 

      Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1981-02)
      **Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an equilibrium gives rise to the creation of periodic orbits for a one parameter family of differential ...

    • Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces 

      Lakshmikantham, V.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1981-05)
      **Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the monotone iterative ...

    • Minimal and Maximal Solutions of Nonlinear Boundary Value Problems 

      Chandra, Jagdish; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1976-08)
      **Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under ...

    • Monotone Methods for Nonlinear Boundary Value Problems in Banach Spaces 

      Bernfeld, Stephen R.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1977-12)
      **Please note that the full text is embargoed** ABSTRACT: Monotone methods have been used to generate multiple solutions of nonlinear boundary value problems for both ordinary and partial differential equations. Keller ...

    • A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations 

      Lord, M. E.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1976-02)
      **Please note that the full text is embargoed** ABSTRACT: It is well known that a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear ordinary differential equations ...

    • On the Construction of a Norm Associated with the Measure of Noncompactness 

      Bernfeld, Stephen R.; Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-02)
      **Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...

    • Practical Stability and Lyapunov Functions 

      Lakshmikantham, V.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1979-10)
      **Please note that the full text is embargoed** ABSTRACT: The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations may not ...

    • Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation 

      Salvadori, L.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1981-03)
      **Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...

    • Remarks on Numerical Computations Using the Alternative Method 

      Kannan, R.; Eisenfeld, Jerome; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1977-12)
      **Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...

    • Stability and Generalized Hopf Bifurcation Through a Reduction Principle 

      Bernfeld, Stephen R.; Salvadori, L.; Negrini, P. (University of Texas at ArlingtonDepartment of Mathematics, 1980-10)
      **Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...

    • System Identification Problems and the Method of Moments 

      Eisenfeld, Jerome; Cheng, S. W.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1977-05)
      Let X(t) and W(t) be vectors of dimension N > 0. We are concerned with the problem of computing an N x N matrix A such that [see pdf for notation](1.1) where X'(t) is the rate of change of X(t) with respect to time t. ...

    • A Topological Method for Vector-Valued and Nth Order Nonlinear Boundary Value Problems 

      Palamides, P. K.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1982-05)
      **Please note that the full text is embargoed** ABSTRACT: The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form (E) [see pdf for notation] (C) [see ...