Now showing items 1-13 of 13

    • Competitive-Cooperative Processes and Stability of Diffusion Systems 

      Lakshmikantham, V.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1978)
      **Please note that the full text is embargoed** ABSTRACT: Very recently, the stability analysis of deterministic [12], random [12,13] competitive-cooperative process has been made in a systematic and unified way. It is ...
    • Error Estimates of Solutions and Mean of Solutions of Stochastic Differential Systems 

      Sambandham, M.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1981-08)
      **Please note that the full text is embargoed** ABSTRACT: Stochastic differential equations are considered. Estimates in terms of statistical properties are given for the difference between the solutions and solutions ...
    • An Estimate for the Roots of Random Algebraic Polynomial with Application 

      Sambandham, M.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1981-06)
      **Please note that the full text is embargoed** ABSTRACT: An algebraic polynomial with dependent random coefficients is considered. The difference between the sample roots of random algebraic equation and the roots of ...
    • 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 of Coupled Quasi-solutions of Systems of Nonlinear Elliptic Boundart Value Problems 

      Lakshmikantham, V.; Ladde, G. S.; Vatsala, A. S. (University of Texas at ArlingtonDepartment of Mathematics, 1983-06)
      **Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear elliptic boundary value problems arise in many applications such as multiple chemical reactions that take place in an isothermal or nonisothermal ...
    • Existence of Coupled Quasi-solutions of Systems of Nonlinear Reaction-diffusion Equations 

      Lakshmikantham, V.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1983-10)
      **Please note that the full text is embargoed** ABSTRACT: Systems of nonlinear parabolic initial boundary value problems arise in many applications such as epidemies, ecology, biochemistry, biology, chemical and nuclear ...
    • 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 ...
    • On the Fundamental Theory of Nonlinear Second Order Stochastic Boundary Value Problems 

      Ladde, G. S.; Chandra, Jagdish; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1981)
      **Please note that the full text is embargoed** ABSTRACT: A Study of nonlinear second order stochastic boundary value problems (SBVP for short) is initiated through sample calculus approach. A basic existence result for ...
    • Sample Solutions of Stochastic Boundary Value Problems 

      Lakshmikantham, V.; Ladde, G. S.; Deimling, K. (University of Texas at ArlingtonDepartment of Mathematics, 1984-11)
      **Please note that the full text is embargoed** ABSTRACT: We prove existence theorems for nonlinear stochastic Sturmiouville problems which improve results from [4]. In the simplest case this is done by means of a known ...
    • Stochastic Analysis of Compressible Gas Lubrication Slider Bearing Problem 

      Chandra, Jagdish; Lakshmikantham, V.; Ladde, G. S. (University of Texas at ArlingtonDepartment of Mathematics, 1981)
      **Please note that the full text is embargoed** ABSTRACT: By employing the theory of stochastic differential inequalities and a comparison result for the stochastic boundary value problem, the effects of roughness for ...
    • 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 ...
    • A Technic in Perturbation Theory 

      Ladde, G. S.; Leela, S.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-07)
      **Please note that the full text is embargoed** ABSTRACT: A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics ...