Browsing Department of Mathematics by Author "Shendge, G. R."

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    • 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 Parabolic Differential Equations at Resonance 

      Vatsala, A. S.; Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1982-07)
      **Please note that the full text is embargoed** ABSTRACT: It is very well known that comparison principles for initial and boundary value problems for nonresonance cases have been very much used in the existence of solutions ...

    • Monotone Method for Boundary Value Problems Describing Periodic Transport Processes 

      Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1983-07)
      **Please note that the full text is embargoed** ABSTRACT: One of the powerful methods of proving the existence of extremal solutions of initial and boundary value problems is the monotone iterative technique [1-4,6,7]. ...

    • A New Approach to the Stability Theory of Functional Differential Systems 

      Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1982-01)
      **Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...

    • Volterra Integral Equations in Abstract Cones and Monotone Iterative Technique 

      Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1983-08)
      **Please note that the full text is embargoed** ABSTRACT: The objective of this paper is to develop monotone technique for obtaining extremal solutions of Volterra integral equations in abstract Banach spaces via coupled ...