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The Method of Nonlinear Variation of Constants for Difference Equations
(University of Texas at Arlington, 1977-06)
**Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation
of constants formula. ...
Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage
(University of Texas at Arlington, 1977-01)
**Please note that the full text is embargoed** ABSTRACT: There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has ...
Reaction-Diffusion Inequalities in Cones
(University of Texas at Arlington, 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 ...
Existence and Comparison Results for Differential Equations of Sobolev Type
(University of Texas at Arlington, 1978-12)
**Please note that the full text is embargoed** ABSTRACT: Recently a new class of differential equations, called
differential equations of Sobolev type was studied in [4]
in which an existence theorem of Picards type ...
Attractivity AMP Hopf Bifurcation
(University of Texas at Arlington, 1978-02)
**Please note that the full text is embargoed** ABSTRACT: Consider the one-parameter family of differential equations
[see pdf for notation]
where [see pdf for notation] and [see pdf for notation]. Here [see pdf for ...
Remarks on Numerical Computations Using the Alternative Method
(University of Texas at Arlington, 1977-12)
**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...
Existence and Comparison Results for a Class of Volterra Integral Equations of Sobolev Type
(University of Texas at Arlington, 1978-09)
**Please note that the full text is embargoed** ABSTRACT: Recently [2] a class of new differential equations called Sobolev type differential equations was introduced and Picard type existence theorem for such equations ...
On the Existence of Solutions of Differential Equations and Zeros of Operators in K-Banach Spaces
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: The theory of existence of solutions of differential equations in a Banach space employing norm as a measure is sufficiently well known [5, 6, 8, 9]. Also utilizing ...
Matrix Fields Over the Integers Modulo m
(University of Texas at Arlington, 1974-10)
**Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ...
Vector Lyapunov Functions and Perturbations of Nonlinear Systems
(University of Texas at Arlington, 1975-03)
**Please note that the full text is embargoed** ABSTRACT: Two recent papers [2,3] have combined the techniques of the Lyapunov method and the nonlinear variation of parameters to study the effects of perturbations of ...