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A New Approach to the Method of Nonlinear Variation of Parameters
(University of Texas at Arlington, 1975-01)
**Please note that the full text is embargoed** ABSTRACT: As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending ...
Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations
(University of Texas at Arlington, 1979-04)
**Please note that the full text is embargoed** ABSTRACT: A parameter imbedding method for nonlinear Fredholm integral equations produces a Cauchy system involving the solution of the integral equation and
an associated ...
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. ...
A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is well known that a very important
technique in obtaining the asymptotic
behavior of solutions of linear and nonlinear
ordinary differential equations ...
Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...
Sobolev Type Differential Equations
(University of Texas at Arlington, 1977-06)
**Please note that the full text is embargoed** ABSTRACT:An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation ...
Existence and Uniqueness of Sobolev Type Integrodifferential Equations
(University of Texas at Arlington, 1977-07)
**Please note that the full text is embargoed** ABSTRACT: An imbedding method for nonlinear Fredholm integral equations gives rise to a Sobolev type integrodifferential equation. For such equations, sufficient conditions ...