Browsing by Subject "Comparison theorems"

Now showing items 1-7 of 7

    • Comparison Results for First and Second Order Boundary Value Problems at Resonance 

      Vatsala, A. S.; Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1982-05)
      **Please note that the full text is embargoed** ABSTRACT: It is well known that the comparison principle for the initial value problems has been very useful in the theory of differential equations [1, 2,5]. Recently, such ...

    • Comparison Results for Reaction-Diffusion Equations in a Banach Space 

      Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1979-06)
      **Please note that the full text is embargoed** ABSTRACT: Let T be the temperature and n the concentration of a combustible substance. A simple model governing the combustion of the material is given by [see pdf for ...

    • Existence and Asymptotic Behavior of Reaction-Diffusion Systems Via Coupled Quasi-Solutions 

      Ladde, G. S.; Vatsala, A. S.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1980-08)
      **Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems, existence of extremal solutions and monotone iterative techniques for differential systems a property called quasimonotone ...

    • Existence and Comparison Theorems for Differential Equations in Banach Spaces 

      Lakshmikantham, V.; Deimling, K. (University of Texas at ArlingtonDepartment of Mathematics, 1978-07)
      **Please note that the full text is embargoed** ABSTRACT: In our recent paper [3] we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation]. (1) [see pdf for ...

    • 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 ...

    • Reaction-Diffusion Inequalities in Cones 

      Vaughn, Randy; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1978-02)
      **Please note that the full text is embargoed** ABSTRACT: Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of such equations occur ...

    • Stochastic Differential Inequalities of Ito Type 

      Lakshmikantham, V.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1978-06)
      **Please note that the full text is embargoed** ABSTRACT: It is well known [3] that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural ...