Browsing by Author "Ladde, G. S."
Now showing items 1-13 of 13
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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 ...