Browsing by Author "Pachpatte, B. G."

Now showing items 1-4 of 4

    • Existence Theorems for a Class of Functional Differential Systems 

      Pachpatte, B. G.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1981-06)
      **Please note that the full text is embargoed** ABSTRACT: In recent papers [2,6], the authors have established existence and comparison theorems for the well known Cauchy problem for ordinary differential equations without ...

    • The Method of Upper, Lower Solutions and Volterra Integral Equations 

      Ladde, G. S.; Pachpatte, B. G.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1980-12)
      **Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ...

    • Monotone Method for Equations Describing Transport Phenomena in a Banach Space 

      Vatsala, A. S.; Pachpatte, B. G. (University of Texas at ArlingtonDepartment of Mathematics, 1981-06)
      **Please note that the full text is embargoed** ABSTRACT: Existence of extremal solutions of initial and boundary value problems (B.V.P. for short) of differential equations in a Banach space has been recently considered ...

    • Monotone Method for Nonlinear Boundary Value Problems Arising in Transport Process 

      Pachpatte, B. G.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1981-04)
      **Please note that the full text is embargoed** ABSTRACT: Recently, monotone iterative methods have been successfully employed to prove existence of multiple solutions and point-wise bounds on solutions of nonlinear ...