Browsing Department of Mathematics by Subject "Differential equation"

Now showing items 1-6 of 6

    • Differential Equations on Closed Subsets of a Banach Space 

      Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-07)
      **Please note that the full text is embargoed** ABSTRACT: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach ...

    • Existence and Comparison Results for Differential Equations in a Banach Space 

      Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-07)
      **Please note that the full text is embargoed** ABSTRACT: The study of the Cauchy problem for differential equations in a Banach space has taken two different directions. One direction is to find compactness type conditions ...

    • On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1973-10)
      **Please note that the full text is embargoed** ABSTRACT: Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument (1) [see pdf for notation] on the interval I: to [see ...

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

      Eisenfeld, Jerome; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-03)
      **Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ...

    • Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials 

      Ercan, Ramazan (University of Texas at Arlington, 2018-05)
      A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ...

    • 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 ...