Browsing Technical Papers - DO NOT EDIT by Author "Lord, M. E."

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    • Existence and Uniqueness of Sobolev Type Integrodifferential Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1977-07)
      **Please note that the full text is embargoed** ABSTRACT: An imbedding method for nonlinear Fredholm integral equations gives rise to a Sobolev type integrodifferential equation. For such equations, sufficient conditions ...

    • Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1979-04)
      **Please note that the full text is embargoed** ABSTRACT: A parameter imbedding method for nonlinear Fredholm integral equations produces a Cauchy system involving the solution of the integral equation and an associated ...

    • The Method of Nonlinear Variation of Constants for Difference Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1977-06)
      **Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. ...

    • A New Approach to the Method of Nonlinear Variation of Parameters 

      Mitchell, A. Richard; Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1975-01)
      **Please note that the full text is embargoed** ABSTRACT: As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending ...

    • 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 ...

    • Sobolev Type Differential Equations 

      Lord, M. E.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1977-06)
      **Please note that the full text is embargoed** ABSTRACT:An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation ...

    • Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1980-08)
      **Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...